Atkin-Lehner |
2+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
24050f |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2278016000 = 210 · 53 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 2 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1907,-31499] |
[a1,a2,a3,a4,a6] |
Generators |
[55:139:1] |
Generators of the group modulo torsion |
j |
6137533477629/18224128 |
j-invariant |
L |
3.7225775697091 |
L(r)(E,1)/r! |
Ω |
0.72256800191618 |
Real period |
R |
2.5759358010853 |
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 |
24050u1 |
Quadratic twists by: 5 |