Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384bn |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24144698863296 = -1 · 26 · 36 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6936,80354] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:48013:125] |
Generators of the group modulo torsion |
j |
790939860992/517504691 |
j-invariant |
L |
2.8192069730998 |
L(r)(E,1)/r! |
Ω |
0.42140638772917 |
Real period |
R |
3.3449980094834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999704968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384dc2 1881b2 13376c2 |
Quadratic twists by: -4 8 -3 |