Atkin-Lehner |
2+ 7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111034d |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5059584 |
Modular degree for the optimal curve |
Δ |
-1.6431131528693E+21 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2702814,-936990988] |
[a1,a2,a3,a4,a6] |
Generators |
[12366:660017:8] |
Generators of the group modulo torsion |
j |
18560265416853536375/13966231356571648 |
j-invariant |
L |
2.1513912437469 |
L(r)(E,1)/r! |
Ω |
0.083782239757538 |
Real period |
R |
3.2097960850806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15862b1 |
Quadratic twists by: -7 |