Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15200i |
Isogeny class |
Conductor |
15200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9728000 = 212 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513,-4303] |
[a1,a2,a3,a4,a6] |
Generators |
[32:105:1] |
Generators of the group modulo torsion |
j |
29218112/19 |
j-invariant |
L |
6.0107625218963 |
L(r)(E,1)/r! |
Ω |
1.0030362756984 |
Real period |
R |
2.9962837175113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15200m2 30400v1 15200n2 |
Quadratic twists by: -4 8 5 |