Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990x |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-942061185000000000 = -1 · 29 · 38 · 510 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236871,-14611347] |
[a1,a2,a3,a4,a6] |
Generators |
[237:7284:1] |
Generators of the group modulo torsion |
j |
2016187106182949231/1292265000000000 |
j-invariant |
L |
6.2182006838931 |
L(r)(E,1)/r! |
Ω |
0.15988471565481 |
Real period |
R |
1.9445888427936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330z2 |
Quadratic twists by: -3 |