Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660i |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-20380275649200 = -1 · 24 · 3 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6739,40686] |
[a1,a2,a3,a4,a6] |
Generators |
[13:361:1] |
Generators of the group modulo torsion |
j |
44957696/27075 |
j-invariant |
L |
2.7852685321082 |
L(r)(E,1)/r! |
Ω |
0.41887328688554 |
Real period |
R |
1.1082383063136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640dr1 64980bs1 108300cg1 1140d1 |
Quadratic twists by: -4 -3 5 -19 |