Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322b |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-973214755056 = -1 · 24 · 39 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10383,-407395] |
[a1,a2,a3,a4,a6] |
j |
-6289621476579/49444432 |
j-invariant |
L |
0.94545974281077 |
L(r)(E,1)/r! |
Ω |
0.23636493570269 |
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 |
90576q1 11322k1 |
Quadratic twists by: -4 -3 |