Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dk |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
1750 |
Product of Tamagawa factors cp |
deg |
653856000 |
Modular degree for the optimal curve |
Δ |
-1.4962941248459E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-133222994626,-18717102929597500] |
[a1,a2,a3,a4,a6] |
Generators |
[425716:41284654:1] |
Generators of the group modulo torsion |
j |
-6480058504834680172823820421207/370795632927170447278080 |
j-invariant |
L |
14.010717750784 |
L(r)(E,1)/r! |
Ω |
0.0039511477503185 |
Real period |
R |
2.0262781682917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370cy1 |
Quadratic twists by: -7 |