Atkin-Lehner |
2- 3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390bl |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
39266304 |
Modular degree for the optimal curve |
Δ |
1.6077653479438E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-407551433,3107593764681] |
[a1,a2,a3,a4,a6] |
Generators |
[-5497:2279100:1] |
Generators of the group modulo torsion |
j |
10269361837197450658143675721/220543943476516592025600 |
j-invariant |
L |
9.8298728424804 |
L(r)(E,1)/r! |
Ω |
0.057469496684206 |
Real period |
R |
2.0362505760045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130f1 |
Quadratic twists by: -3 |