Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784n |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
834769152 = 28 · 38 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,599114] |
[a1,a2,a3,a4,a6] |
j |
1435758069328/4473 |
j-invariant |
L |
1.382478301624 |
L(r)(E,1)/r! |
Ω |
1.3824783016307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568k1 11928i1 |
Quadratic twists by: -4 -3 |