Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3872j |
Isogeny class |
Conductor |
3872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-79819452416 = -1 · 212 · 117 |
Discriminant |
Eigenvalues |
2- -1 1 4 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5485,-155131] |
[a1,a2,a3,a4,a6] |
Generators |
[235:3388:1] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
3.5241480546815 |
L(r)(E,1)/r! |
Ω |
0.27730338301936 |
Real period |
R |
1.5885796344736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3872i1 7744w1 34848r1 96800j1 |
Quadratic twists by: -4 8 -3 5 |