Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660bb |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
42120 |
Modular degree for the optimal curve |
Δ |
-16621901414640 = -1 · 24 · 313 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3490,-178227] |
[a1,a2,a3,a4,a6] |
j |
2253933824/7971615 |
j-invariant |
L |
4.5984376476238 |
L(r)(E,1)/r! |
Ω |
0.35372597289414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640cl1 64980p1 108300k1 21660q1 |
Quadratic twists by: -4 -3 5 -19 |