Atkin-Lehner |
2- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850u |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-2871412000000000 = -1 · 211 · 59 · 233 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 1 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53188,5374992] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:-2846:1] |
Generators of the group modulo torsion |
j |
-1064989133917561/183770368000 |
j-invariant |
L |
6.7973460441802 |
L(r)(E,1)/r! |
Ω |
0.43524916931893 |
Real period |
R |
0.11831164634333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570a1 |
Quadratic twists by: 5 |