Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792x |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
29589504 = 215 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 6 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23905,1430593] |
[a1,a2,a3,a4,a6] |
Generators |
[93:56:1] |
Generators of the group modulo torsion |
j |
46106078848712/903 |
j-invariant |
L |
6.0836887183277 |
L(r)(E,1)/r! |
Ω |
1.5066864884552 |
Real period |
R |
1.0094483432181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bc1 28896s1 |
Quadratic twists by: -4 8 |