Atkin-Lehner |
2+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
91840q |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
52664729600 = 220 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 4 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2465,46625] |
[a1,a2,a3,a4,a6] |
Generators |
[16:105:1] |
Generators of the group modulo torsion |
j |
6321363049/200900 |
j-invariant |
L |
11.454848733902 |
L(r)(E,1)/r! |
Ω |
1.1163528710051 |
Real period |
R |
2.5652392335715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840bt1 2870b1 |
Quadratic twists by: -4 8 |