Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272bn |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-97138911744 = -1 · 29 · 313 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,362] |
[a1,a2,a3,a4,a6] |
Generators |
[358:6804:1] |
Generators of the group modulo torsion |
j |
449455096/260253 |
j-invariant |
L |
7.4218847932623 |
L(r)(E,1)/r! |
Ω |
0.63891130635838 |
Real period |
R |
2.9041138885008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34272o1 68544co1 11424d1 |
Quadratic twists by: -4 8 -3 |