Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986be |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-39407131148112 = -1 · 24 · 36 · 76 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6961,-204825] |
[a1,a2,a3,a4,a6] |
Generators |
[33:228:1] |
Generators of the group modulo torsion |
j |
51176381367383/54056421328 |
j-invariant |
L |
11.436846604234 |
L(r)(E,1)/r! |
Ω |
0.35022714681762 |
Real period |
R |
4.0819389308572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554b2 |
Quadratic twists by: -3 |