Atkin-Lehner |
5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135k |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63168 |
Modular degree for the optimal curve |
Δ |
23493203125 = 57 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-926,-8270] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
1794029203456/479453125 |
j-invariant |
L |
3.1260886958195 |
L(r)(E,1)/r! |
Ω |
0.88264577426995 |
Real period |
R |
1.7708625538448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135r1 |
Quadratic twists by: -7 |