Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432dc |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-33607511691264 = -1 · 212 · 35 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,318324] |
[a1,a2,a3,a4,a6] |
Generators |
[100:882:1] |
Generators of the group modulo torsion |
j |
-38272753/69741 |
j-invariant |
L |
10.860005179799 |
L(r)(E,1)/r! |
Ω |
0.58512025016553 |
Real period |
R |
0.46400740516474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6027d1 13776f1 |
Quadratic twists by: -4 -7 |