Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930h |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
853632 |
Modular degree for the optimal curve |
Δ |
-484765310748096000 = -1 · 29 · 319 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4908418,4183715572] |
[a1,a2,a3,a4,a6] |
Generators |
[1707:27122:1] |
Generators of the group modulo torsion |
j |
-38128906520707954899583/1413309943872000 |
j-invariant |
L |
3.2361956854101 |
L(r)(E,1)/r! |
Ω |
0.27621544788492 |
Real period |
R |
5.8581004614166 |
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 |
83790fq1 27930bn1 |
Quadratic twists by: -3 -7 |