Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150dh |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
6695136000000 = 211 · 36 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4730,-12103] |
[a1,a2,a3,a4,a6] |
j |
1027243729/587776 |
j-invariant |
L |
6.8636688748457 |
L(r)(E,1)/r! |
Ω |
0.62396981496287 |
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 |
14350e1 5166h1 |
Quadratic twists by: -3 5 |