Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2850x |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
86568750000 = 24 · 36 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40463,3129417] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-1211:1] |
Generators of the group modulo torsion |
j |
468898230633769/5540400 |
j-invariant |
L |
5.1387351903508 |
L(r)(E,1)/r! |
Ω |
0.97793322568273 |
Real period |
R |
0.21894538465562 |
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 |
22800ce2 91200bi2 8550f2 570a2 |
Quadratic twists by: -4 8 -3 5 |