Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bp |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
223483709846408000 = 26 · 53 · 118 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156456,7061558] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:5467:1] |
Generators of the group modulo torsion |
j |
1912626928997/1009205824 |
j-invariant |
L |
3.6834160908472 |
L(r)(E,1)/r! |
Ω |
0.27604496992353 |
Real period |
R |
1.6679419939301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000299879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950dk2 10450bg2 |
Quadratic twists by: 5 -11 |