Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bj |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
136805760 |
Modular degree for the optimal curve |
Δ |
-1.9144924046421E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75426635149,-7976031835990648] |
[a1,a2,a3,a4,a6] |
j |
-138357846491853121383730987168838623/55816105091607428996184145920 |
j-invariant |
L |
2.2318959602421 |
L(r)(E,1)/r! |
Ω |
0.00455488971478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790ft1 27930r1 |
Quadratic twists by: -3 -7 |