Atkin-Lehner |
3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285bd |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-751314868805475 = -1 · 321 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -1 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12948,-1190615] |
[a1,a2,a3,a4,a6] |
j |
1948576907264/6098285475 |
j-invariant |
L |
1.0346612536875 |
L(r)(E,1)/r! |
Ω |
0.25866529972739 |
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 |
43095a1 129285v1 |
Quadratic twists by: -3 13 |