Atkin-Lehner |
2- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66836f |
Isogeny class |
Conductor |
66836 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4318013834288 = -1 · 24 · 77 · 11 · 313 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610213,183675794] |
[a1,a2,a3,a4,a6] |
Generators |
[446:196:1] [586:5194:1] |
Generators of the group modulo torsion |
j |
-13349363777536000/2293907 |
j-invariant |
L |
8.5264758768279 |
L(r)(E,1)/r! |
Ω |
0.61126857877707 |
Real period |
R |
3.487205204419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9548c2 |
Quadratic twists by: -7 |