Atkin-Lehner |
2+ 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6882f |
Isogeny class |
Conductor |
6882 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-20296668358656 = -1 · 211 · 35 · 313 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 5 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12063,-555086] |
[a1,a2,a3,a4,a6] |
Generators |
[314:5004:1] |
Generators of the group modulo torsion |
j |
-194105544724737001/20296668358656 |
j-invariant |
L |
3.5543282368745 |
L(r)(E,1)/r! |
Ω |
0.22643814975666 |
Real period |
R |
0.52322282275817 |
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 |
55056i1 20646u1 |
Quadratic twists by: -4 -3 |