Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bx |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
198288000000 = 210 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,22750] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:108:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
5.9240002525145 |
L(r)(E,1)/r! |
Ω |
0.93776959846264 |
Real period |
R |
3.1585584893273 |
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 |
61200ba1 3400e1 1224d1 |
Quadratic twists by: -4 -3 5 |