Atkin-Lehner |
3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725s |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
356363712257175 = 34 · 52 · 711 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -3 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38108,2712297] |
[a1,a2,a3,a4,a6] |
Generators |
[511:-11060:1] [-1786:3491:8] |
Generators of the group modulo torsion |
j |
244812103422156265/14254548490287 |
j-invariant |
L |
7.4320760124896 |
L(r)(E,1)/r! |
Ω |
0.52977199910107 |
Real period |
R |
0.31883681801286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725k1 |
Quadratic twists by: 5 |