Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294ck |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-72532927014912 = -1 · 211 · 311 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10679,-587505] |
[a1,a2,a3,a4,a6] |
j |
-6468095257/3483648 |
j-invariant |
L |
5.0392324043713 |
L(r)(E,1)/r! |
Ω |
0.22905601838052 |
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 |
7098c1 21294r1 |
Quadratic twists by: -3 13 |