Atkin-Lehner |
2+ 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032a |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-16245245952 = -1 · 211 · 39 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 6 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,621,1458] |
[a1,a2,a3,a4,a6] |
j |
657018/403 |
j-invariant |
L |
3.0532467163428 |
L(r)(E,1)/r! |
Ω |
0.76331167887487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29016a1 58032b1 |
Quadratic twists by: -4 -3 |