Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480l |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
12731058000 = 24 · 32 · 53 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-655,3278] |
[a1,a2,a3,a4,a6] |
j |
1945317554176/795691125 |
j-invariant |
L |
3.4351936953265 |
L(r)(E,1)/r! |
Ω |
1.1450645651088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6960l1 27840h1 10440s1 17400be1 |
Quadratic twists by: -4 8 -3 5 |