Atkin-Lehner |
5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175y |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4268160 |
Modular degree for the optimal curve |
Δ |
2.5200184349862E+20 |
Discriminant |
Eigenvalues |
-1 -1 5- -3 4 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11906138,15789226656] |
[a1,a2,a3,a4,a6] |
Generators |
[1929:1232:1] |
Generators of the group modulo torsion |
j |
9011897441/12167 |
j-invariant |
L |
2.0060941012333 |
L(r)(E,1)/r! |
Ω |
0.17482618439071 |
Real period |
R |
2.8686980047604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175z1 97175x1 |
Quadratic twists by: 5 13 |