Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218j |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-19581927552 = -1 · 27 · 35 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,481,-5326] |
[a1,a2,a3,a4,a6] |
j |
843112391/1337472 |
j-invariant |
L |
3.2157253342122 |
L(r)(E,1)/r! |
Ω |
0.64314506684185 |
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 |
93654bt1 31218r1 |
Quadratic twists by: -3 -11 |