Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720g |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4070400 = -1 · 210 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,0] |
[a1,a2,a3,a4,a6] |
j |
6740636/3975 |
j-invariant |
L |
3.0046850880447 |
L(r)(E,1)/r! |
Ω |
1.5023425440223 |
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 |
6360k1 50880du1 38160i1 63600w1 |
Quadratic twists by: -4 8 -3 5 |