Atkin-Lehner |
3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275b |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
91956515625 = 39 · 56 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4430,-111428] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:43:1] [-37:46:1] |
Generators of the group modulo torsion |
j |
31255875/299 |
j-invariant |
L |
5.7378840094235 |
L(r)(E,1)/r! |
Ω |
0.58554068792522 |
Real period |
R |
9.7992917106178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275a1 2691a1 |
Quadratic twists by: -3 5 |