Atkin-Lehner |
2+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6808c |
Isogeny class |
Conductor |
6808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
6859631872 = 28 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ -1 -2 -1 -5 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-529,2645] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:46:1] [-19:74:1] |
Generators of the group modulo torsion |
j |
64072471552/26795437 |
j-invariant |
L |
4.0726294361232 |
L(r)(E,1)/r! |
Ω |
1.2030956990878 |
Real period |
R |
0.14104687873167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13616f1 54464a1 61272n1 |
Quadratic twists by: -4 8 -3 |