Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190bf |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-51207200000000 = -1 · 211 · 58 · 112 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11+ -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57312,5306499] |
[a1,a2,a3,a4,a6] |
Generators |
[357:-5679:1] [-193:3121:1] |
Generators of the group modulo torsion |
j |
-39354792641655489/96800000000 |
j-invariant |
L |
8.9492019813292 |
L(r)(E,1)/r! |
Ω |
0.63425941714737 |
Real period |
R |
0.080168677288244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58190w1 |
Quadratic twists by: -23 |