Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181k |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
491040 |
Modular degree for the optimal curve |
Δ |
-120485358186177747 = -1 · 3 · 72 · 3110 |
Discriminant |
Eigenvalues |
0 3- 4 7+ -4 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1231361,525782738] |
[a1,a2,a3,a4,a6] |
Generators |
[482742:796328:729] |
Generators of the group modulo torsion |
j |
-251920384/147 |
j-invariant |
L |
6.4763532719724 |
L(r)(E,1)/r! |
Ω |
0.32741604771904 |
Real period |
R |
9.8900975029939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543f1 20181b1 |
Quadratic twists by: -3 -31 |