Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440p |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-30608326656000 = -1 · 220 · 35 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7480,91632] |
[a1,a2,a3,a4,a6] |
j |
11298232190519/7472736000 |
j-invariant |
L |
2.4839671282415 |
L(r)(E,1)/r! |
Ω |
0.41399452137358 |
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 |
930h1 29760cn1 22320bq1 37200de1 |
Quadratic twists by: -4 8 -3 5 |