Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294ca |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
151954246923576552 = 23 · 39 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133880,1971155] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:4255:1] |
Generators of the group modulo torsion |
j |
2640625/1512 |
j-invariant |
L |
7.7547351899322 |
L(r)(E,1)/r! |
Ω |
0.27808607009977 |
Real period |
R |
4.647682872159 |
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 |
7098h1 21294bc1 |
Quadratic twists by: -3 13 |