Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658z |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35904 |
Modular degree for the optimal curve |
Δ |
13357176 = 23 · 3 · 7 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-361,-2785] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
65450827/168 |
j-invariant |
L |
7.8482567897194 |
L(r)(E,1)/r! |
Ω |
1.0954271046786 |
Real period |
R |
1.1940938765913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658o1 |
Quadratic twists by: -43 |