Atkin-Lehner |
2- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79424h |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-162660352 = -1 · 217 · 17 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 0 -5 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,607] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] [-6:25:1] |
Generators of the group modulo torsion |
j |
-31250/1241 |
j-invariant |
L |
7.1720470144319 |
L(r)(E,1)/r! |
Ω |
1.5109648704706 |
Real period |
R |
1.186666737721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79424a1 19856a1 |
Quadratic twists by: -4 8 |