Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430b |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1123584 |
Modular degree for the optimal curve |
Δ |
-8181740194320700 = -1 · 22 · 52 · 7 · 438 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -4 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46263,5778017] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/1294300 |
j-invariant |
L |
1.5244614733216 |
L(r)(E,1)/r! |
Ω |
0.38111585692403 |
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 |
3010i1 |
Quadratic twists by: -43 |