Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bs |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-6216890351616 = -1 · 215 · 313 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4596,-2896] |
[a1,a2,a3,a4,a6] |
Generators |
[13:243:1] |
Generators of the group modulo torsion |
j |
449455096/260253 |
j-invariant |
L |
4.6151087569947 |
L(r)(E,1)/r! |
Ω |
0.44891000196508 |
Real period |
R |
1.2850874164163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544co1 34272o1 22848d1 |
Quadratic twists by: -4 8 -3 |