Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856bi |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-2221572096 = -1 · 215 · 37 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 1 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,1424] |
[a1,a2,a3,a4,a6] |
Generators |
[10:72:1] |
Generators of the group modulo torsion |
j |
97336/93 |
j-invariant |
L |
4.2882215073715 |
L(r)(E,1)/r! |
Ω |
0.95875222252144 |
Real period |
R |
0.55908886136579 |
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 |
17856w1 8928e1 5952j1 |
Quadratic twists by: -4 8 -3 |