Atkin-Lehner |
2- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38236d |
Isogeny class |
Conductor |
38236 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
35828049664 = 28 · 116 · 79 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11- 1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-847,2662] |
[a1,a2,a3,a4,a6] |
Generators |
[66:484:1] |
Generators of the group modulo torsion |
j |
148176/79 |
j-invariant |
L |
3.9480588253853 |
L(r)(E,1)/r! |
Ω |
1.0146549130052 |
Real period |
R |
1.945518015426 |
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 |
316b1 |
Quadratic twists by: -11 |