Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300bo |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
23457780000000 = 28 · 32 · 57 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48133,4041863] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:2850:1] |
Generators of the group modulo torsion |
j |
23658496/45 |
j-invariant |
L |
10.601870777344 |
L(r)(E,1)/r! |
Ω |
0.67574312542724 |
Real period |
R |
0.21790559131234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660m1 108300r1 |
Quadratic twists by: 5 -19 |