Atkin-Lehner |
5- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135v |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1503565 = 5 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,216] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:135:8] [2:9:1] |
Generators of the group modulo torsion |
j |
629407744/30685 |
j-invariant |
L |
7.6126287841888 |
L(r)(E,1)/r! |
Ω |
2.6515584020407 |
Real period |
R |
1.4355008696531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135b1 |
Quadratic twists by: -7 |