Atkin-Lehner |
13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83317c |
Isogeny class |
Conductor |
83317 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-4396763298537649 = -1 · 139 · 17 · 293 |
Discriminant |
Eigenvalues |
1 0 -1 2 -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29015,-3707118] |
[a1,a2,a3,a4,a6] |
j |
-559679941521/910904761 |
j-invariant |
L |
0.34628752881338 |
L(r)(E,1)/r! |
Ω |
0.17314370564374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6409c1 |
Quadratic twists by: 13 |