Atkin-Lehner |
2- 3+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36822r |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-69148843884 = -1 · 22 · 33 · 173 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 5 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1271,21017] |
[a1,a2,a3,a4,a6] |
Generators |
[23:56:1] |
Generators of the group modulo torsion |
j |
-1742478049/530604 |
j-invariant |
L |
7.8141694040407 |
L(r)(E,1)/r! |
Ω |
1.0385941340775 |
Real period |
R |
1.2539658415236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466e1 36822n1 |
Quadratic twists by: -3 -19 |