Atkin-Lehner |
3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989m |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
52272 |
Modular degree for the optimal curve |
Δ |
3483241461 = 311 · 7 · 532 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 4 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-406,1234] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:40:1] [-19:49:1] |
Generators of the group modulo torsion |
j |
2641309696/1240029 |
j-invariant |
L |
5.8733851590212 |
L(r)(E,1)/r! |
Ω |
1.2570692531581 |
Real period |
R |
0.42475313434381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989e1 |
Quadratic twists by: 53 |