Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39762q |
Isogeny class |
Conductor |
39762 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
758016 |
Modular degree for the optimal curve |
Δ |
-937355110726883526 = -1 · 2 · 39 · 478 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175201,37011277] |
[a1,a2,a3,a4,a6] |
Generators |
[-26454:812777:216] |
Generators of the group modulo torsion |
j |
1269/2 |
j-invariant |
L |
5.3866772473071 |
L(r)(E,1)/r! |
Ω |
0.19021800394372 |
Real period |
R |
4.7197401013796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39762a1 39762p1 |
Quadratic twists by: -3 -47 |