Atkin-Lehner |
3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83391a |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
8580045097624077 = 38 · 7 · 11 · 198 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 11+ -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-571583,166459610] |
[a1,a2,a3,a4,a6] |
Generators |
[2650:29237:8] |
Generators of the group modulo torsion |
j |
1216000000000/505197 |
j-invariant |
L |
2.2838049526192 |
L(r)(E,1)/r! |
Ω |
0.40605802642537 |
Real period |
R |
0.93738858605953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83391n1 |
Quadratic twists by: -19 |