Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400dx |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-876770049600000000 = -1 · 212 · 38 · 58 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,183300,33424000] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:4500:1] [146:7956:1] |
Generators of the group modulo torsion |
j |
14598344384/18792225 |
j-invariant |
L |
10.2928897415 |
L(r)(E,1)/r! |
Ω |
0.18872112412213 |
Real period |
R |
1.7043815625496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400dt2 40800y2 24480h2 |
Quadratic twists by: -4 -3 5 |