Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bl |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-2446080 = -1 · 28 · 3 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,195] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-2458624/195 |
j-invariant |
L |
9.0322391801249 |
L(r)(E,1)/r! |
Ω |
2.5270507605028 |
Real period |
R |
0.89355537686782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76440a1 |
Quadratic twists by: -7 |