Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dt |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
259920000000 = 210 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-29637] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:57:1] |
Generators of the group modulo torsion |
j |
67108864/16245 |
j-invariant |
L |
9.3329633315208 |
L(r)(E,1)/r! |
Ω |
0.7148578595807 |
Real period |
R |
1.6319613743263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ff1 5700b1 18240w1 |
Quadratic twists by: -4 8 5 |