Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75400k |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1225250000 = 24 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350,-1875] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] [-6:3:1] |
Generators of the group modulo torsion |
j |
18966528/4901 |
j-invariant |
L |
8.9494363173811 |
L(r)(E,1)/r! |
Ω |
1.1248791682678 |
Real period |
R |
1.9889772541276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3016a1 |
Quadratic twists by: 5 |