Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7742m |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-37177084 = -1 · 22 · 76 · 79 |
Discriminant |
Eigenvalues |
2- -2 2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,48,-260] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1454:1] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
4.8039966821519 |
L(r)(E,1)/r! |
Ω |
1.0519728486935 |
Real period |
R |
4.5666546319312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61936y1 69678k1 158e1 |
Quadratic twists by: -4 -3 -7 |