Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300n |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
9653814781200 = 24 · 33 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6618,145737] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:361:1] |
Generators of the group modulo torsion |
j |
1703680/513 |
j-invariant |
L |
5.8681147859192 |
L(r)(E,1)/r! |
Ω |
0.67429684398618 |
Real period |
R |
0.72521407812735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300cr1 5700k1 |
Quadratic twists by: 5 -19 |