Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950u |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.4696741969282E+26 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1026032167,-12608754368259] |
[a1,a2,a3,a4,a6] |
Generators |
[39273:2749509:1] |
Generators of the group modulo torsion |
j |
4315493878427398863321/16147293184000000 |
j-invariant |
L |
4.4045582340329 |
L(r)(E,1)/r! |
Ω |
0.026681303460211 |
Real period |
R |
5.1587601461008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999964247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22990bi2 10450r2 |
Quadratic twists by: 5 -11 |