Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bf |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
142373700 = 22 · 38 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-999,12393] |
[a1,a2,a3,a4,a6] |
Generators |
[12:39:1] |
Generators of the group modulo torsion |
j |
151334226289/195300 |
j-invariant |
L |
3.6744254960571 |
L(r)(E,1)/r! |
Ω |
1.832674698885 |
Real period |
R |
0.50123809455826 |
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 |
6510w1 97650dl1 |
Quadratic twists by: -3 5 |