Atkin-Lehner |
2- 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bg |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
84635150400 = 26 · 37 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2318,41181] |
[a1,a2,a3,a4,a6] |
Generators |
[21:27:1] |
Generators of the group modulo torsion |
j |
1888690601881/116097600 |
j-invariant |
L |
12.900027455003 |
L(r)(E,1)/r! |
Ω |
1.0607694346776 |
Real period |
R |
1.0134174785967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190c1 |
Quadratic twists by: -3 |