Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75900bf |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-2488669920000 = -1 · 28 · 35 · 54 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14333,660063] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:990:1] [-102:1035:1] |
Generators of the group modulo torsion |
j |
-2035379200000/15554187 |
j-invariant |
L |
12.162506002964 |
L(r)(E,1)/r! |
Ω |
0.8181956946315 |
Real period |
R |
0.082583516679994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75900c1 |
Quadratic twists by: 5 |