Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856g |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
-2697584220611328 = -1 · 28 · 3 · 378 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -4 1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16884,2632080] |
[a1,a2,a3,a4,a6] |
j |
-592/3 |
j-invariant |
L |
2.3648991413056 |
L(r)(E,1)/r! |
Ω |
0.39414985688543 |
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 |
65712e1 98568s1 32856n1 |
Quadratic twists by: -4 -3 37 |