Atkin-Lehner |
2- 3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574x |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-8703445819929378336 = -1 · 25 · 38 · 76 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311756,-156879889] |
[a1,a2,a3,a4,a6] |
Generators |
[1377:44293:1] |
Generators of the group modulo torsion |
j |
-4596627802786282873/11938883154909984 |
j-invariant |
L |
9.3942103818134 |
L(r)(E,1)/r! |
Ω |
0.093950087070709 |
Real period |
R |
4.9995750989428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39858f2 |
Quadratic twists by: -3 |