Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248o |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1622268011408 = 24 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ -2 2 -1 11- 6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3912,-72833] |
[a1,a2,a3,a4,a6] |
j |
233644288/57233 |
j-invariant |
L |
1.2289005455046 |
L(r)(E,1)/r! |
Ω |
0.6144502554425 |
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 |
41624r1 7568g1 |
Quadratic twists by: -4 -11 |