Atkin-Lehner |
2+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414h |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
1098083706788096 = 28 · 76 · 232 · 413 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64346,-6060748] |
[a1,a2,a3,a4,a6] |
Generators |
[-2085725:-4733331:15625] |
Generators of the group modulo torsion |
j |
250440136856937/9333557504 |
j-invariant |
L |
5.6501265926687 |
L(r)(E,1)/r! |
Ω |
0.30044414241487 |
Real period |
R |
9.4029568249127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886c1 |
Quadratic twists by: -7 |