Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506n |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-3126185912309328 = -1 · 24 · 35 · 1110 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7626,-2702900] |
[a1,a2,a3,a4,a6] |
j |
-1890625/120528 |
j-invariant |
L |
1.976067162165 |
L(r)(E,1)/r! |
Ω |
0.1976067162165 |
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 |
67518bv1 22506bj1 |
Quadratic twists by: -3 -11 |