Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800m |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-19956998750000 = -1 · 24 · 57 · 135 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6617,-59488] |
[a1,a2,a3,a4,a6] |
Generators |
[13:169:1] [52:650:1] |
Generators of the group modulo torsion |
j |
128144943104/79827995 |
j-invariant |
L |
10.434225185849 |
L(r)(E,1)/r! |
Ω |
0.39443983545085 |
Real period |
R |
0.66133185910716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22360b1 |
Quadratic twists by: 5 |