Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
106200bk |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1612912500000000 = 28 · 37 · 511 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54300,4470500] |
[a1,a2,a3,a4,a6] |
j |
6072054784/553125 |
j-invariant |
L |
3.6974949589293 |
L(r)(E,1)/r! |
Ω |
0.46218687823036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400a1 21240f1 |
Quadratic twists by: -3 5 |