Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6030g |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-576175472640 = -1 · 218 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4545,124605] |
[a1,a2,a3,a4,a6] |
j |
-14244643829521/790364160 |
j-invariant |
L |
1.8152149992925 |
L(r)(E,1)/r! |
Ω |
0.90760749964623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240bs1 2010k1 30150cp1 |
Quadratic twists by: -4 -3 5 |