Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840i |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
6474960 = 24 · 32 · 5 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
934979584/404685 |
j-invariant |
L |
3.6148084959217 |
L(r)(E,1)/r! |
Ω |
1.8552187473823 |
Real period |
R |
1.948454058593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46920u1 |
Quadratic twists by: -4 |