Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294i |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
224784388940202 = 2 · 39 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 1 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18537,-646021] |
[a1,a2,a3,a4,a6] |
j |
43875/14 |
j-invariant |
L |
0.83894666313824 |
L(r)(E,1)/r! |
Ω |
0.41947333156913 |
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 |
21294bu1 21294bn1 |
Quadratic twists by: -3 13 |