Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7440t |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-609484800000 = -1 · 221 · 3 · 55 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3256,79700] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:384:1] |
Generators of the group modulo torsion |
j |
-932288503609/148800000 |
j-invariant |
L |
4.9472139972777 |
L(r)(E,1)/r! |
Ω |
0.88254848111474 |
Real period |
R |
1.4014000655887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
930b1 29760by1 22320bw1 37200bp1 |
Quadratic twists by: -4 8 -3 5 |