Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bb |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-214987500000000 = -1 · 28 · 33 · 511 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3796,709904] |
[a1,a2,a3,a4,a6] |
j |
-482370434896/17138671875 |
j-invariant |
L |
2.8056862287799 |
L(r)(E,1)/r! |
Ω |
0.46761437029323 |
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 |
76440m1 |
Quadratic twists by: -7 |