Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870k |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10857600 |
Modular degree for the optimal curve |
Δ |
-7.8438637552285E+22 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -3 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3623291,13209843413] |
[a1,a2,a3,a4,a6] |
Generators |
[-3021:3056573:27] |
Generators of the group modulo torsion |
j |
10515969243639/156800000000 |
j-invariant |
L |
8.2987203770767 |
L(r)(E,1)/r! |
Ω |
0.080583101060656 |
Real period |
R |
6.4364614510673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870w1 |
Quadratic twists by: 29 |