Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600co |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-4792320000 = -1 · 216 · 32 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145860008,677986929588] |
[a1,a2,a3,a4,a6] |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
3.7931687236644 |
L(r)(E,1)/r! |
Ω |
0.3160973936387 |
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 |
1950b1 62400fv1 46800ew1 15600bm2 |
Quadratic twists by: -4 8 -3 5 |