Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792v |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-219,1044] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:14:1] [-15:27:1] |
Generators of the group modulo torsion |
j |
212629504/48843 |
j-invariant |
L |
7.7570861204455 |
L(r)(E,1)/r! |
Ω |
1.6408315367588 |
Real period |
R |
2.3637667690818 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78792ba1 |
Quadratic twists by: -7 |