Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762b |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-119286 = -1 · 2 · 33 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [1:4:1] |
Generators of the group modulo torsion |
j |
1269/2 |
j-invariant |
L |
4.8964080659686 |
L(r)(E,1)/r! |
Ω |
2.2587136499413 |
Real period |
R |
1.0838930526002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39762p1 39762a1 |
Quadratic twists by: -3 -47 |