Atkin-Lehner |
2+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850k |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-9207245000 = -1 · 23 · 54 · 232 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -5 -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,225,4525] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:35:1] [-5:60:1] |
Generators of the group modulo torsion |
j |
2001574775/14731592 |
j-invariant |
L |
5.308735390349 |
L(r)(E,1)/r! |
Ω |
0.94528146212302 |
Real period |
R |
0.46800305897698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850t1 |
Quadratic twists by: 5 |