Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34839i |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-303496026778287 = -1 · 310 · 77 · 792 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6404,862670] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1138:1] |
Generators of the group modulo torsion |
j |
-338608873/3538647 |
j-invariant |
L |
3.7887753124521 |
L(r)(E,1)/r! |
Ω |
0.46473186077895 |
Real period |
R |
4.0763025221698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11613c1 4977c1 |
Quadratic twists by: -3 -7 |