Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336bp |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
2.3723880168456E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6969702,-7078342115] |
[a1,a2,a3,a4,a6] |
j |
3210101983120736487424/2033940343660533 |
j-invariant |
L |
0.74336517077147 |
L(r)(E,1)/r! |
Ω |
0.09292070992615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112f1 |
Quadratic twists by: -3 |