Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960g |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-36283385495888640 = -1 · 28 · 319 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -3 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213921,39241341] |
[a1,a2,a3,a4,a6] |
j |
-4229081330325627904/141731974593315 |
j-invariant |
L |
1.0925399123454 |
L(r)(E,1)/r! |
Ω |
0.3641799707818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3480i1 27840ea1 20880u1 34800bh1 |
Quadratic twists by: -4 8 -3 5 |