Atkin-Lehner |
2+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1886d |
Isogeny class |
Conductor |
1886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
347024 = 24 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
3463512697/347024 |
j-invariant |
L |
2.7045508399132 |
L(r)(E,1)/r! |
Ω |
2.0278899113194 |
Real period |
R |
1.3336773484678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15088d1 60352i1 16974k1 47150j1 |
Quadratic twists by: -4 8 -3 5 |