Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ei |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-199277620416 = -1 · 26 · 315 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12115,509687] |
[a1,a2,a3,a4,a6] |
Generators |
[62:27:1] |
Generators of the group modulo torsion |
j |
-3072909999983104/3113712819 |
j-invariant |
L |
8.775782937988 |
L(r)(E,1)/r! |
Ω |
0.99962071107073 |
Real period |
R |
0.5852741838845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664ce1 20832bb1 124992gs1 |
Quadratic twists by: -4 8 -3 |