Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200dk |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-573750000 = -1 · 24 · 33 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75,-1125] |
[a1,a2,a3,a4,a6] |
Generators |
[10:25:1] |
Generators of the group modulo torsion |
j |
6912/85 |
j-invariant |
L |
5.6900636139806 |
L(r)(E,1)/r! |
Ω |
0.80321890253273 |
Real period |
R |
0.88550947882199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300e1 61200cy1 12240bg1 |
Quadratic twists by: -4 -3 5 |