Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742c |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
37177084 = 22 · 76 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 4 7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-836] |
[a1,a2,a3,a4,a6] |
j |
4826809/316 |
j-invariant |
L |
2.6454560620644 |
L(r)(E,1)/r! |
Ω |
1.3227280310322 |
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 |
61936u1 69678ba1 158b1 |
Quadratic twists by: -4 -3 -7 |