Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720f |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
911278080 = 216 · 33 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4656,123840] |
[a1,a2,a3,a4,a6] |
j |
2725812332209/222480 |
j-invariant |
L |
1.5012780618697 |
L(r)(E,1)/r! |
Ω |
1.5012780618696 |
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 |
3090k1 98880bu1 74160bj1 123600cb1 |
Quadratic twists by: -4 8 -3 5 |