Atkin-Lehner |
3- 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21777h |
Isogeny class |
Conductor |
21777 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-1281195069399 = -1 · 310 · 73 · 17 · 612 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 6 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4820,139421] |
[a1,a2,a3,a4,a6] |
j |
-12380417712589753/1281195069399 |
j-invariant |
L |
4.1924898567325 |
L(r)(E,1)/r! |
Ω |
0.8384979713465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65331j1 |
Quadratic twists by: -3 |