Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960w |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2614689000000 = 26 · 32 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6286,173264] |
[a1,a2,a3,a4,a6] |
j |
429275354481856/40854515625 |
j-invariant |
L |
3.1540676616594 |
L(r)(E,1)/r! |
Ω |
0.78851691541436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960d1 73920fv2 110880du1 |
Quadratic twists by: -4 8 -3 |