Atkin-Lehner |
2+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150k |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
283712 |
Modular degree for the optimal curve |
Δ |
-11265900544000 = -1 · 226 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -6 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36016,-2638722] |
[a1,a2,a3,a4,a6] |
Generators |
[313:3939:1] [352:5146:1] |
Generators of the group modulo torsion |
j |
-41331655231224749/90127204352 |
j-invariant |
L |
5.4363406359997 |
L(r)(E,1)/r! |
Ω |
0.17325684091005 |
Real period |
R |
7.8443376427433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150v1 |
Quadratic twists by: 5 |