Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030u |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-12210750 = -1 · 2 · 36 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,-169] |
[a1,a2,a3,a4,a6] |
j |
1685159/16750 |
j-invariant |
L |
2.2252767921578 |
L(r)(E,1)/r! |
Ω |
1.1126383960789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48240bk1 670b1 30150s1 |
Quadratic twists by: -4 -3 5 |