Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
590a |
Isogeny class |
Conductor |
590 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
352 |
Modular degree for the optimal curve |
Δ |
-256723750 = -1 · 2 · 54 · 593 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 -3 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,156,176] |
[a1,a2,a3,a4,a6] |
j |
423733973831/256723750 |
j-invariant |
L |
0.71638232572502 |
L(r)(E,1)/r! |
Ω |
1.0745734885875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4720b1 18880e1 5310q1 2950p1 |
Quadratic twists by: -4 8 -3 5 |