Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9696d |
Isogeny class |
Conductor |
9696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-22707752802826752 = -1 · 29 · 316 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 -4 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39832,7882648] |
[a1,a2,a3,a4,a6] |
j |
-13650890847811784/44351079693021 |
j-invariant |
L |
0.66816789828288 |
L(r)(E,1)/r! |
Ω |
0.33408394914144 |
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 |
9696b1 19392t1 29088g1 |
Quadratic twists by: -4 8 -3 |