Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312f |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
483983900928 = 28 · 35 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2012,8652] |
[a1,a2,a3,a4,a6] |
j |
3520331082448/1890562113 |
j-invariant |
L |
4.0774790849784 |
L(r)(E,1)/r! |
Ω |
0.81549581699568 |
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 |
7656b1 61248by1 45936q1 |
Quadratic twists by: -4 8 -3 |