Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cd |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
1.5476271821111E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11022533,-14087836812] |
[a1,a2,a3,a4,a6] |
Generators |
[-1913:1083:1] [-1907:825:1] |
Generators of the group modulo torsion |
j |
12592337649664/1315845 |
j-invariant |
L |
12.940308068291 |
L(r)(E,1)/r! |
Ω |
0.08285751851684 |
Real period |
R |
4.3382062165952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660e1 5700f1 |
Quadratic twists by: 5 -19 |