Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360b |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
765460480000000 = 227 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 3 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25921,-907745] |
[a1,a2,a3,a4,a6] |
Generators |
[-3777:548:27] |
Generators of the group modulo torsion |
j |
7347774183121/2920000000 |
j-invariant |
L |
5.216499714348 |
L(r)(E,1)/r! |
Ω |
0.38936027377643 |
Real period |
R |
6.6988083603816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23360n1 730j1 116800p1 |
Quadratic twists by: -4 8 5 |