Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bf |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7625378117125314 = -1 · 2 · 311 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165060,26192362] |
[a1,a2,a3,a4,a6] |
Generators |
[413:5117:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
3.2816597865618 |
L(r)(E,1)/r! |
Ω |
0.41793877947979 |
Real period |
R |
0.32716711430863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098u1 1638p1 |
Quadratic twists by: -3 13 |