Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bn |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
62869880832 = 214 · 3 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5489,157905] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:496:1] |
Generators of the group modulo torsion |
j |
1116509913808/3837273 |
j-invariant |
L |
4.3504907144617 |
L(r)(E,1)/r! |
Ω |
1.1105924559864 |
Real period |
R |
1.9586350919126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bd1 16368m1 |
Quadratic twists by: -4 8 |