Atkin-Lehner |
2+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
87374b |
Isogeny class |
Conductor |
87374 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-349496 = -1 · 23 · 7 · 792 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -4 7 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64,216] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] [38:-7:8] |
Generators of the group modulo torsion |
j |
-4686201/56 |
j-invariant |
L |
8.3678155728857 |
L(r)(E,1)/r! |
Ω |
3.0429800642223 |
Real period |
R |
2.7498752525541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87374e1 |
Quadratic twists by: -79 |