Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976db |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-1.6304921117444E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,140383,-193264319] |
[a1,a2,a3,a4,a6] |
Generators |
[555:7436:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
3.0328752211228 |
L(r)(E,1)/r! |
Ω |
0.1052632412664 |
Real period |
R |
1.8007682542882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976h1 29744n1 9152q1 |
Quadratic twists by: -4 8 13 |