Atkin-Lehner |
2+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920d |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
4153600 = 28 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223,1278] |
[a1,a2,a3,a4,a6] |
Generators |
[13:24:1] |
Generators of the group modulo torsion |
j |
4790692944/16225 |
j-invariant |
L |
4.0063884466024 |
L(r)(E,1)/r! |
Ω |
2.4766509922227 |
Real period |
R |
1.6176637157011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25960b1 |
Quadratic twists by: -4 |