Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400cl |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8007485062500000000 = 28 · 32 · 512 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15720908,-23996749812] |
[a1,a2,a3,a4,a6] |
Generators |
[369250546:4487175000:79507] |
Generators of the group modulo torsion |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
7.7390074865093 |
L(r)(E,1)/r! |
Ω |
0.075819450302963 |
Real period |
R |
8.5059610360482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007611 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200f2 18480c2 |
Quadratic twists by: -4 5 |