Atkin-Lehner |
2+ 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29274s |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-17705544708096 = -1 · 212 · 32 · 75 · 17 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3328,188750] |
[a1,a2,a3,a4,a6] |
j |
4078131646070663/17705544708096 |
j-invariant |
L |
0.9888718308089 |
L(r)(E,1)/r! |
Ω |
0.49443591540427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822z1 |
Quadratic twists by: -3 |