Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cr |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
150840855956250000 = 24 · 33 · 58 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165458,17886213] |
[a1,a2,a3,a4,a6] |
Generators |
[314:27075:8] |
Generators of the group modulo torsion |
j |
1703680/513 |
j-invariant |
L |
8.9643553148609 |
L(r)(E,1)/r! |
Ω |
0.30155471603333 |
Real period |
R |
0.82575352743775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300n1 5700h1 |
Quadratic twists by: 5 -19 |