Atkin-Lehner |
3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
58989c |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-9379251 = -1 · 32 · 7 · 533 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 1 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-565,5364] |
[a1,a2,a3,a4,a6] |
Generators |
[18:26:1] [122:59:8] |
Generators of the group modulo torsion |
j |
-134217728/63 |
j-invariant |
L |
7.5028080175911 |
L(r)(E,1)/r! |
Ω |
2.2706807808577 |
Real period |
R |
0.8260527063994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989n1 |
Quadratic twists by: 53 |