Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856f |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-296944155219831552 = -1 · 28 · 325 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 0 7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217572,-47117232] |
[a1,a2,a3,a4,a6] |
j |
-3250059460986832/847288609443 |
j-invariant |
L |
5.4519322223547 |
L(r)(E,1)/r! |
Ω |
0.10903864444698 |
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 |
65712b1 98568u1 32856o1 |
Quadratic twists by: -4 -3 37 |