Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936d |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7737092352 = 28 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1215,15742] |
[a1,a2,a3,a4,a6] |
j |
28697814000/1119371 |
j-invariant |
L |
2.6116570532268 |
L(r)(E,1)/r! |
Ω |
1.3058285264706 |
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 |
22968p1 45936f1 |
Quadratic twists by: -4 -3 |