Atkin-Lehner |
2- 3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050cj |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-12588908544000 = -1 · 218 · 36 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-353,170697] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:379:1] |
Generators of the group modulo torsion |
j |
-38923752869/100711268352 |
j-invariant |
L |
13.745142087526 |
L(r)(E,1)/r! |
Ω |
0.57142544294417 |
Real period |
R |
0.1113617145619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050j1 |
Quadratic twists by: 5 |