Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6992a |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
42104934393856 = 211 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 -3 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44544,3590228] |
[a1,a2,a3,a4,a6] |
Generators |
[76:806:1] |
Generators of the group modulo torsion |
j |
4772777079094274/20559049997 |
j-invariant |
L |
5.2474106844206 |
L(r)(E,1)/r! |
Ω |
0.64620264874803 |
Real period |
R |
4.0601897056497 |
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 |
3496h1 27968bv1 62928g1 |
Quadratic twists by: -4 8 -3 |