Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160s |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-15441920 = -1 · 213 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 4 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,218] |
[a1,a2,a3,a4,a6] |
j |
-2146689/3770 |
j-invariant |
L |
3.9529917826586 |
L(r)(E,1)/r! |
Ω |
1.9764958913276 |
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 |
3770f1 120640dh1 |
Quadratic twists by: -4 8 |