Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030g |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
18180 = 22 · 32 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
68417929/18180 |
j-invariant |
L |
2.8552573665294 |
L(r)(E,1)/r! |
Ω |
2.8496781370512 |
Real period |
R |
1.0019578454863 |
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 |
24240t1 96960l1 9090x1 15150y1 |
Quadratic twists by: -4 8 -3 5 |