Atkin-Lehner |
2+ 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350a |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
4417256250000 = 24 · 32 · 58 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41400,-3258000] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:76:1] |
Generators of the group modulo torsion |
j |
502251335607169/282704400 |
j-invariant |
L |
3.9599523685566 |
L(r)(E,1)/r! |
Ω |
0.33470544375436 |
Real period |
R |
2.9577890299666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470ba1 |
Quadratic twists by: 5 |