Atkin-Lehner |
3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591f |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
127331276245392681 = 33 · 76 · 119 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129614,-5243972] |
[a1,a2,a3,a4,a6] |
j |
5034501056619/2662043923 |
j-invariant |
L |
1.6023483360136 |
L(r)(E,1)/r! |
Ω |
0.26705786114182 |
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 |
129591e1 11781b1 |
Quadratic twists by: -3 -11 |