Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077p |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
31275457213 = 76 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 1 2 7- 11- 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-932,-6973] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:551:8] |
Generators of the group modulo torsion |
j |
6289657/2197 |
j-invariant |
L |
5.0198961078484 |
L(r)(E,1)/r! |
Ω |
0.88880860126842 |
Real period |
R |
2.8239466288526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1573c1 77077y1 |
Quadratic twists by: -7 -11 |