Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040bj |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
11557907988480 = 224 · 39 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907,-61486] |
[a1,a2,a3,a4,a6] |
j |
7633736209/3870720 |
j-invariant |
L |
2.298344657856 |
L(r)(E,1)/r! |
Ω |
0.574586164464 |
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 |
630f1 20160dr1 1680k1 25200ef1 |
Quadratic twists by: -4 8 -3 5 |