Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762a |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
252672 |
Modular degree for the optimal curve |
Δ |
-1285809479735094 = -1 · 2 · 33 · 478 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19467,-1377277] |
[a1,a2,a3,a4,a6] |
j |
1269/2 |
j-invariant |
L |
2.0422658490088 |
L(r)(E,1)/r! |
Ω |
0.25528323112629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39762q1 39762b1 |
Quadratic twists by: -3 -47 |