Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696f |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-637094780113664 = -1 · 28 · 597 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 4 -2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-961916,-363445924] |
[a1,a2,a3,a4,a6] |
j |
-9115564624/59 |
j-invariant |
L |
2.4391305393157 |
L(r)(E,1)/r! |
Ω |
0.076222829362082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27848h1 944b1 |
Quadratic twists by: -4 -59 |