Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21070bb |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
34704102020 = 22 · 5 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,-27833] |
[a1,a2,a3,a4,a6] |
Generators |
[-3375047280:-3544062869:147197952] |
Generators of the group modulo torsion |
j |
15069223/860 |
j-invariant |
L |
11.651299057301 |
L(r)(E,1)/r! |
Ω |
0.73918994018438 |
Real period |
R |
15.762253277412 |
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 |
105350g1 21070u1 |
Quadratic twists by: 5 -7 |