Atkin-Lehner |
2- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430r |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25704 |
Modular degree for the optimal curve |
Δ |
-129430 = -1 · 2 · 5 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 6 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60,-205] |
[a1,a2,a3,a4,a6] |
j |
-12932809/70 |
j-invariant |
L |
7.7160663659805 |
L(r)(E,1)/r! |
Ω |
0.85734080628485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129430e1 |
Quadratic twists by: -43 |