Atkin-Lehner |
3+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065a |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
212010481765125 = 316 · 53 · 312 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23096,-1164796] |
[a1,a2,a3,a4,a6] |
Generators |
[394455:21939524:125] |
Generators of the group modulo torsion |
j |
1362495887162310529/212010481765125 |
j-invariant |
L |
2.7033899082794 |
L(r)(E,1)/r! |
Ω |
0.39132841131899 |
Real period |
R |
6.9082382727273 |
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 |
57195v2 95325y2 |
Quadratic twists by: -3 5 |