Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2170a |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-151900 = -1 · 22 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,12] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
167284151/151900 |
j-invariant |
L |
1.4792637956965 |
L(r)(E,1)/r! |
Ω |
2.1217328590685 |
Real period |
R |
0.34859803140956 |
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 |
17360y1 69440bd1 19530bz1 10850y1 |
Quadratic twists by: -4 8 -3 5 |