Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280bj |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-3795539365002240 = -1 · 210 · 39 · 5 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146883,-21869138] |
[a1,a2,a3,a4,a6] |
Generators |
[452186:15627114:343] |
Generators of the group modulo torsion |
j |
-469473226110724/5084473815 |
j-invariant |
L |
7.6936599601086 |
L(r)(E,1)/r! |
Ω |
0.12185584946698 |
Real period |
R |
7.8921733885494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760n1 |
Quadratic twists by: -3 |