Atkin-Lehner |
2- 3+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
110664k |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
379392 |
Modular degree for the optimal curve |
Δ |
-72063068610672 = -1 · 24 · 39 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -1 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34803,2532195] |
[a1,a2,a3,a4,a6] |
j |
-14803434332928/228823949 |
j-invariant |
L |
4.9305050611179 |
L(r)(E,1)/r! |
Ω |
0.61631308265733 |
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 |
110664c1 |
Quadratic twists by: -3 |