Atkin-Lehner |
3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591b |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1093632 |
Modular degree for the optimal curve |
Δ |
24936288993 = 33 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11+ 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-477038,126936164] |
[a1,a2,a3,a4,a6] |
j |
334071914262529617/693889 |
j-invariant |
L |
3.1109637278781 |
L(r)(E,1)/r! |
Ω |
0.77774074064038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129591a1 129591c1 |
Quadratic twists by: -3 -11 |