Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300p |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-29046093750000 = -1 · 24 · 37 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,260125] |
[a1,a2,a3,a4,a6] |
Generators |
[60:625:1] |
Generators of the group modulo torsion |
j |
-1755904/159375 |
j-invariant |
L |
4.9380214686862 |
L(r)(E,1)/r! |
Ω |
0.54564707722174 |
Real period |
R |
1.1312306238835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200ep1 5100m1 3060o1 |
Quadratic twists by: -4 -3 5 |