Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bn |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
46569978 = 2 · 39 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -1 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-110,-269] |
[a1,a2,a3,a4,a6] |
j |
43875/14 |
j-invariant |
L |
3.0248652113244 |
L(r)(E,1)/r! |
Ω |
1.5124326056622 |
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 |
21294b1 21294i1 |
Quadratic twists by: -3 13 |