Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600ca |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7472485612800 = -1 · 28 · 312 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1628,-134472] |
[a1,a2,a3,a4,a6] |
Generators |
[79:486:1] |
Generators of the group modulo torsion |
j |
-74605986640/1167575877 |
j-invariant |
L |
5.9244518724903 |
L(r)(E,1)/r! |
Ω |
0.31855996720016 |
Real period |
R |
1.5498002685231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3900b1 62400es1 46800da1 15600bv1 |
Quadratic twists by: -4 8 -3 5 |