Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850bd |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
1576821261312000000 = 216 · 37 · 56 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9920592,12029250816] |
[a1,a2,a3,a4,a6] |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
0.97708131822579 |
L(r)(E,1)/r! |
Ω |
0.24427037814093 |
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 |
37950de1 4554bc1 |
Quadratic twists by: -3 5 |