Atkin-Lehner |
2- 3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746l |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
3143680 |
Modular degree for the optimal curve |
Δ |
-2.2068627936444E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-781589,-348830739] |
[a1,a2,a3,a4,a6] |
j |
-1955666257617669475059/817356590238662656 |
j-invariant |
L |
2.5175523272318 |
L(r)(E,1)/r! |
Ω |
0.078673507267082 |
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 |
109746a1 |
Quadratic twists by: -3 |