Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294x |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
9056975891418 = 2 · 313 · 75 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -3 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6525,-140477] |
[a1,a2,a3,a4,a6] |
j |
249395415529/73513818 |
j-invariant |
L |
2.1729134478673 |
L(r)(E,1)/r! |
Ω |
0.54322836196682 |
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 |
7098s1 21294ct1 |
Quadratic twists by: -3 13 |