Atkin-Lehner |
2- 3+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104p |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1689403392 = 214 · 34 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,1264] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:54:1] |
Generators of the group modulo torsion |
j |
955671625/412452 |
j-invariant |
L |
3.9912422912264 |
L(r)(E,1)/r! |
Ω |
1.3478972481672 |
Real period |
R |
1.4805439718853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638c1 |
Quadratic twists by: -4 |