Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834q |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-7094612455480885248 = -1 · 226 · 314 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 4 2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1986512,-1084763725] |
[a1,a2,a3,a4,a6] |
j |
-1189240134686977282489/9731978676928512 |
j-invariant |
L |
3.3047451837815 |
L(r)(E,1)/r! |
Ω |
0.063552791995797 |
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 |
102672ce1 4278k1 |
Quadratic twists by: -4 -3 |