Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600a |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4819668750000 = -1 · 24 · 33 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4217,-8438] |
[a1,a2,a3,a4,a6] |
Generators |
[5478:126064:1331] |
Generators of the group modulo torsion |
j |
33165879296/19278675 |
j-invariant |
L |
4.0974241295122 |
L(r)(E,1)/r! |
Ω |
0.45598050392225 |
Real period |
R |
8.9859634222671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7800d1 62400gv1 46800l1 3120g1 |
Quadratic twists by: -4 8 -3 5 |