Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cq |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
78594048 |
Modular degree for the optimal curve |
Δ |
-3.7938248551656E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327631584,-9088885805580] |
[a1,a2,a3,a4,a6] |
Generators |
[1249798790058:-179667071926272:53582633] |
Generators of the group modulo torsion |
j |
949557016813062170728246751/9262267712806533149491200 |
j-invariant |
L |
7.8889935334698 |
L(r)(E,1)/r! |
Ω |
0.018010584395784 |
Real period |
R |
9.1254136062652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870m1 |
Quadratic twists by: -4 |