Atkin-Lehner |
2+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53360c |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-1547440 = -1 · 24 · 5 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -6 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] [522:4263:8] |
Generators of the group modulo torsion |
j |
162830336/96715 |
j-invariant |
L |
6.1226889451254 |
L(r)(E,1)/r! |
Ω |
1.5656521768548 |
Real period |
R |
7.8212632864885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26680c1 |
Quadratic twists by: -4 |