Atkin-Lehner |
7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76531b |
Isogeny class |
Conductor |
76531 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
91728 |
Modular degree for the optimal curve |
Δ |
-54128922211 = -1 · 7 · 13 · 296 |
Discriminant |
Eigenvalues |
0 2 -3 7- 0 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6167,188812] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:4883:8] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
6.7566446684781 |
L(r)(E,1)/r! |
Ω |
1.1215054232849 |
Real period |
R |
6.0246205922015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91b1 |
Quadratic twists by: 29 |