Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23320d |
Isogeny class |
Conductor |
23320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-2984960 = -1 · 210 · 5 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ 7 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[14:40:1] |
Generators of the group modulo torsion |
j |
-19307236/2915 |
j-invariant |
L |
3.2087026570922 |
L(r)(E,1)/r! |
Ω |
0.86411940569684 |
Real period |
R |
1.8566315233395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46640f1 116600a1 |
Quadratic twists by: -4 5 |