Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cq |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
935712000 = 28 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 5 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253,-577] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
155648/81 |
j-invariant |
L |
9.0665501017152 |
L(r)(E,1)/r! |
Ω |
1.2670297833774 |
Real period |
R |
0.29815630729862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999855897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300bc1 108300y1 |
Quadratic twists by: 5 -19 |