Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
55776h |
Isogeny class |
Conductor |
55776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
780864 = 26 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-334,-2464] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3738:1] |
Generators of the group modulo torsion |
j |
64577729728/12201 |
j-invariant |
L |
5.0868244394811 |
L(r)(E,1)/r! |
Ω |
1.1165021376339 |
Real period |
R |
4.5560364535054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55776f1 111552cc2 |
Quadratic twists by: -4 8 |