Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1936d |
Isogeny class |
Conductor |
1936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-219503494144 = -1 · 210 · 118 |
Discriminant |
Eigenvalues |
2+ 0 3 -4 11- 3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,29282] |
[a1,a2,a3,a4,a6] |
j |
-1188 |
j-invariant |
L |
1.8252036515601 |
L(r)(E,1)/r! |
Ω |
0.91260182578007 |
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 |
968b1 7744v1 17424y1 48400l1 |
Quadratic twists by: -4 8 -3 5 |