Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130u |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3213659418704697600 = 28 · 36 · 52 · 114 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-370033,-8222332] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:8810:1] |
Generators of the group modulo torsion |
j |
119102750067601/68309049600 |
j-invariant |
L |
6.7175574159011 |
L(r)(E,1)/r! |
Ω |
0.21009627650777 |
Real period |
R |
1.33223792136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629281 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330c2 |
Quadratic twists by: -19 |