Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800z |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5737304687500000000 = 28 · 521 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 7 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-787908,243013688] |
[a1,a2,a3,a4,a6] |
Generators |
[23860914:353515625:74088] |
Generators of the group modulo torsion |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
5.8731699573718 |
L(r)(E,1)/r! |
Ω |
0.23281866016485 |
Real period |
R |
6.3065928147827 |
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 |
4700a2 75200cx2 3760f2 |
Quadratic twists by: -4 8 5 |