Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190bi |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-50720458946798080 = -1 · 29 · 5 · 11 · 239 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93115,15387537] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2207:1] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
7.335159635322 |
L(r)(E,1)/r! |
Ω |
0.33035566605866 |
Real period |
R |
1.2335458734533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530f1 |
Quadratic twists by: -23 |