Atkin-Lehner |
2+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11552i |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-477144100447105024 = -1 · 212 · 1911 |
Discriminant |
Eigenvalues |
2+ 0 3 5 5 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20216,-33252432] |
[a1,a2,a3,a4,a6] |
j |
-4741632/2476099 |
j-invariant |
L |
4.2473630920509 |
L(r)(E,1)/r! |
Ω |
0.13273009662659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11552j1 23104bp1 103968ck1 608b1 |
Quadratic twists by: -4 8 -3 -19 |