Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145m |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
32840523490007025 = 36 · 52 · 138 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174665,26695200] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:7525:1] |
Generators of the group modulo torsion |
j |
122090372373529/6803775225 |
j-invariant |
L |
4.7127896120982 |
L(r)(E,1)/r! |
Ω |
0.36372168472063 |
Real period |
R |
2.1595218321865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000208231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9165c2 |
Quadratic twists by: 13 |