Atkin-Lehner |
2- 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050cg |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
612 |
Product of Tamagawa factors cp |
deg |
1037952 |
Modular degree for the optimal curve |
Δ |
-2889154510848000 = -1 · 217 · 39 · 53 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -5 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65808,6988032] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:3744:1] [-2274:14397:8] |
Generators of the group modulo torsion |
j |
-252144899846555093/23113236086784 |
j-invariant |
L |
15.671420799257 |
L(r)(E,1)/r! |
Ω |
0.44182724724338 |
Real period |
R |
0.057956807531709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050q1 |
Quadratic twists by: 5 |