Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190p |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-162839477900000 = -1 · 25 · 55 · 11 · 236 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5279,598143] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-1088:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
4.568698765685 |
L(r)(E,1)/r! |
Ω |
0.42212199521694 |
Real period |
R |
1.0823171541723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110a1 |
Quadratic twists by: -23 |