Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930r |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
957640320 |
Modular degree for the optimal curve |
Δ |
-2.2523811691374E+36 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3695905122277,2735775223839669901] |
[a1,a2,a3,a4,a6] |
Generators |
[-838755619204773336828904186549226356761628297618120728360580949624094831714242826450480615219224556531288066264673643059813063474111975186966364425807699240334553285:1697973720910775418043835076714831019974976861259144190351137597550142955438711841484590654311271500350820529229049809831062959600054494514301135058071065270390126214467:726235641977724584803490577585616421378815412423049546379954110133682833467093736864175081807894288061122488814899647128700426861804611033356168970121836087875] |
Generators of the group modulo torsion |
j |
-138357846491853121383730987168838623/55816105091607428996184145920 |
j-invariant |
L |
4.1260136216069 |
L(r)(E,1)/r! |
Ω |
0.0080684987449291 |
Real period |
R |
255.68657516369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790dz1 27930bj1 |
Quadratic twists by: -3 -7 |