Atkin-Lehner |
3+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12087a |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27936 |
Modular degree for the optimal curve |
Δ |
-603520795539 = -1 · 39 · 173 · 792 |
Discriminant |
Eigenvalues |
2 3+ 3 -4 1 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2241,-55357] |
[a1,a2,a3,a4,a6] |
Generators |
[47332:1284429:64] |
Generators of the group modulo torsion |
j |
-63235067904/30662033 |
j-invariant |
L |
9.8099152599222 |
L(r)(E,1)/r! |
Ω |
0.33910184071353 |
Real period |
R |
7.2322780962206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12087e1 |
Quadratic twists by: -3 |