Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294bt |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-542447103744 = -1 · 28 · 39 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1514,-41687] |
[a1,a2,a3,a4,a6] |
Generators |
[101:859:1] |
Generators of the group modulo torsion |
j |
-8869743/12544 |
j-invariant |
L |
9.0019584705835 |
L(r)(E,1)/r! |
Ω |
0.36401132193208 |
Real period |
R |
1.5456178709641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21294h1 21294n1 |
Quadratic twists by: -3 13 |