Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7504t |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
4612378624 = 212 · 75 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 -1 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272,17584] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:98:1] [-12:176:1] |
Generators of the group modulo torsion |
j |
55611739513/1126069 |
j-invariant |
L |
4.2150161247002 |
L(r)(E,1)/r! |
Ω |
1.3747132311301 |
Real period |
R |
0.15330528685007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
469a1 30016bt1 67536bz1 52528bn1 |
Quadratic twists by: -4 8 -3 -7 |