Atkin-Lehner |
3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15759a |
Isogeny class |
Conductor |
15759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
433152 |
Modular degree for the optimal curve |
Δ |
2644802392125570057 = 314 · 173 · 1034 |
Discriminant |
Eigenvalues |
1 3- -2 4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6075738,-5762251521] |
[a1,a2,a3,a4,a6] |
Generators |
[152670182832718446:63905993027221339613:869070026007] |
Generators of the group modulo torsion |
j |
34024624222018010177953/3627986820474033 |
j-invariant |
L |
5.1803347134712 |
L(r)(E,1)/r! |
Ω |
0.096161797009386 |
Real period |
R |
26.935513242154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5253a1 |
Quadratic twists by: -3 |