Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960bk |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
54735667200000 = 226 · 32 · 55 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28160,-1793100] |
[a1,a2,a3,a4,a6] |
j |
602944222256641/13363200000 |
j-invariant |
L |
3.6904209485656 |
L(r)(E,1)/r! |
Ω |
0.36904209485656 |
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 |
870f1 27840cr1 20880ce1 34800bv1 |
Quadratic twists by: -4 8 -3 5 |