Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360g |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
49887157760 = 29 · 5 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71027,7285894] |
[a1,a2,a3,a4,a6] |
Generators |
[3466970:17136423:17576] |
Generators of the group modulo torsion |
j |
43688592648/55 |
j-invariant |
L |
5.2410897585158 |
L(r)(E,1)/r! |
Ω |
0.95382738805856 |
Real period |
R |
10.989597958984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19360v2 38720d4 96800bl4 1760j2 |
Quadratic twists by: -4 8 5 -11 |