Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130bo |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
840348698718622500 = 22 · 310 · 54 · 112 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-510281,133146261] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:16357:1] |
Generators of the group modulo torsion |
j |
312341975961049/17862322500 |
j-invariant |
L |
12.356864185919 |
L(r)(E,1)/r! |
Ω |
0.27746167620785 |
Real period |
R |
2.2267695328714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035233 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330a2 |
Quadratic twists by: -19 |