Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fn |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-436488294375000 = -1 · 23 · 37 · 57 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18895,99897] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-1620:1] |
Generators of the group modulo torsion |
j |
65499561791/38319960 |
j-invariant |
L |
10.21030234924 |
L(r)(E,1)/r! |
Ω |
0.32038765575334 |
Real period |
R |
0.26557157050435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950l1 11970y1 |
Quadratic twists by: -3 5 |