Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2170c |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
2170 = 2 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-589,5446] |
[a1,a2,a3,a4,a6] |
Generators |
[5760:23093:729] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
2.6284864869372 |
L(r)(E,1)/r! |
Ω |
3.5580582808075 |
Real period |
R |
6.6486764733561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17360q1 69440bx1 19530cg1 10850u1 |
Quadratic twists by: -4 8 -3 5 |