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 |
589470187092187500 = 22 · 36 · 58 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61761693,186816367708] |
[a1,a2,a3,a4,a6] |
Generators |
[4514:-4965:1] |
Generators of the group modulo torsion |
j |
553808571467029327441/12529687500 |
j-invariant |
L |
6.7175574159011 |
L(r)(E,1)/r! |
Ω |
0.21009627650777 |
Real period |
R |
0.33305948033999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330c5 |
Quadratic twists by: -19 |