Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960dg |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-6610248000 = -1 · 26 · 34 · 53 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,3914] |
[a1,a2,a3,a4,a6] |
j |
-4378747456/103285125 |
j-invariant |
L |
2.2378629808089 |
L(r)(E,1)/r! |
Ω |
1.1189314738531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960ce1 48480j2 |
Quadratic twists by: -4 8 |