Atkin-Lehner |
2+ 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430r |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.5720149188649E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11772279,15281429085] |
[a1,a2,a3,a4,a6] |
Generators |
[-1394:170937:1] |
Generators of the group modulo torsion |
j |
247501504481446827885169/4899883290624000000 |
j-invariant |
L |
4.9181970653028 |
L(r)(E,1)/r! |
Ω |
0.14046082804039 |
Real period |
R |
2.9178936302736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810s2 |
Quadratic twists by: -3 |