Atkin-Lehner |
3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989q |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
58989 = 3 · 7 · 532 |
Discriminant |
Eigenvalues |
0 3- 1 7- -2 -6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-35,68] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
1736704/21 |
j-invariant |
L |
6.1679763152804 |
L(r)(E,1)/r! |
Ω |
3.5286112034213 |
Real period |
R |
1.7479897783764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58989h1 |
Quadratic twists by: 53 |