Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hx |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
171000000 = 26 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,5538] |
[a1,a2,a3,a4,a6] |
Generators |
[33:150:1] |
Generators of the group modulo torsion |
j |
24897088/171 |
j-invariant |
L |
6.6149707597756 |
L(r)(E,1)/r! |
Ω |
1.8188929595181 |
Real period |
R |
1.8184057263877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200gj1 45600h2 3648w1 |
Quadratic twists by: -4 8 5 |