Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3060c |
Isogeny class |
Conductor |
3060 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-265302000 = -1 · 24 · 33 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2493,47917] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:255:1] |
Generators of the group modulo torsion |
j |
-3966493992192/614125 |
j-invariant |
L |
3.1639601644299 |
L(r)(E,1)/r! |
Ω |
1.6862060399526 |
Real period |
R |
0.93818907341803 |
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 |
12240bd1 48960w1 3060e2 15300b1 |
Quadratic twists by: -4 8 -3 5 |