Atkin-Lehner |
2- 3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650dj |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-173808240000000 = -1 · 210 · 3 · 57 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4562,623492] |
[a1,a2,a3,a4,a6] |
j |
671991189479/11123727360 |
j-invariant |
L |
8.5020313519385 |
L(r)(E,1)/r! |
Ω |
0.42510165672071 |
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 |
25530j1 |
Quadratic twists by: 5 |