Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300z |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1161843750000 = -1 · 24 · 37 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1625925,797992625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1240:30125:1] [736:9:1] |
Generators of the group modulo torsion |
j |
-2608300961238784/6375 |
j-invariant |
L |
6.1491288778461 |
L(r)(E,1)/r! |
Ω |
0.56893505517484 |
Real period |
R |
0.67550865669068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200gf2 5100f2 3060m2 |
Quadratic twists by: -4 -3 5 |