Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bm |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-325688040 = -1 · 23 · 38 · 5 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,911] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:31:1] [-66:263:8] |
Generators of the group modulo torsion |
j |
-47045881/446760 |
j-invariant |
L |
14.283247639832 |
L(r)(E,1)/r! |
Ω |
1.4640848763894 |
Real period |
R |
0.81297925814244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230q1 |
Quadratic twists by: -3 |