Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360q |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
5859137025000000 = 26 · 314 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6378750,6202979352] |
[a1,a2,a3,a4,a6] |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
1.3493965215576 |
L(r)(E,1)/r! |
Ω |
0.33734913038941 |
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 |
3360x1 6720cb2 10080t1 16800r1 |
Quadratic twists by: -4 8 -3 5 |