Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960l |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-65250000000000 = -1 · 210 · 32 · 512 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,360,388512] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:270:1] |
Generators of the group modulo torsion |
j |
5024864156/63720703125 |
j-invariant |
L |
3.084071733021 |
L(r)(E,1)/r! |
Ω |
0.48900977822166 |
Real period |
R |
2.1022563490356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3480l4 27840dl3 20880m4 34800bj3 |
Quadratic twists by: -4 8 -3 5 |