Atkin-Lehner |
2- 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280y |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
848372797440 = 212 · 35 · 5 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29016,1911600] |
[a1,a2,a3,a4,a6] |
j |
659616269778649/207122265 |
j-invariant |
L |
1.7435082081462 |
L(r)(E,1)/r! |
Ω |
0.87175453463528 |
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 |
7455d1 |
Quadratic twists by: -4 |