Atkin-Lehner |
2- 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706s |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-3460015182137472 = -1 · 27 · 313 · 7 · 174 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 3 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8796157,10037580563] |
[a1,a2,a3,a4,a6] |
Generators |
[1711:-788:1] |
Generators of the group modulo torsion |
j |
-75266657896884164781859153/3460015182137472 |
j-invariant |
L |
7.6026353012791 |
L(r)(E,1)/r! |
Ω |
0.33210750375554 |
Real period |
R |
0.81757468970427 |
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 |
62118k1 |
Quadratic twists by: -3 |