Atkin-Lehner |
2- 17- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29716b |
Isogeny class |
Conductor |
29716 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-4563554110208 = -1 · 28 · 173 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1173,-104329] |
[a1,a2,a3,a4,a6] |
j |
-697827328000/17826383243 |
j-invariant |
L |
2.012248454217 |
L(r)(E,1)/r! |
Ω |
0.33537474236959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118864i1 |
Quadratic twists by: -4 |