Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608a |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
36725925823488 = 210 · 39 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9315,186354] |
[a1,a2,a3,a4,a6] |
j |
4434871500/1822139 |
j-invariant |
L |
2.3570381659972 |
L(r)(E,1)/r! |
Ω |
0.58925954151074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304g1 58608b1 |
Quadratic twists by: -4 -3 |