Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bi |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-1.2251566160517E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248344347,1506363566231] |
[a1,a2,a3,a4,a6] |
Generators |
[1201730:10744731:125] |
Generators of the group modulo torsion |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
7.1486802618872 |
L(r)(E,1)/r! |
Ω |
0.12739459798328 |
Real period |
R |
1.7535771656568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bg1 6120j1 |
Quadratic twists by: -3 17 |