Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074b |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4258301647842 = -1 · 2 · 36 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1295,98191] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:161:1] [35:416:1] |
Generators of the group modulo torsion |
j |
9938375/176418 |
j-invariant |
L |
4.6391461165179 |
L(r)(E,1)/r! |
Ω |
0.57996922445656 |
Real period |
R |
1.9997380554392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bh2 66a2 |
Quadratic twists by: -3 17 |