Atkin-Lehner |
2- 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cp |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-2625754261730468750 = -1 · 2 · 59 · 78 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368055,-115944803] |
[a1,a2,a3,a4,a6] |
j |
-2823129061973037/1344386182006 |
j-invariant |
L |
9.4755895827828 |
L(r)(E,1)/r! |
Ω |
0.094755908780514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bk1 |
Quadratic twists by: 5 |