Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ba |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1.1463230904895E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2763400,-1776768000] |
[a1,a2,a3,a4,a6] |
Generators |
[257910:46117245:8] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
6.4550542388424 |
L(r)(E,1)/r! |
Ω |
0.058530334082056 |
Real period |
R |
4.5952342063855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470u1 3850o1 |
Quadratic twists by: 5 -11 |