Atkin-Lehner |
2+ 3+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6882c |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-1384144076537856 = -1 · 227 · 35 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 1 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-222949,40465549] |
[a1,a2,a3,a4,a6] |
j |
-1225584732024342787033/1384144076537856 |
j-invariant |
L |
0.95768068258783 |
L(r)(E,1)/r! |
Ω |
0.47884034129392 |
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 |
55056t1 20646v1 |
Quadratic twists by: -4 -3 |