Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608s |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-437819904 = -1 · 29 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-2846] |
[a1,a2,a3,a4,a6] |
j |
-14172488/1173 |
j-invariant |
L |
2.1772139104032 |
L(r)(E,1)/r! |
Ω |
0.54430341683453 |
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 |
112608bi1 37536v1 |
Quadratic twists by: -4 -3 |