Atkin-Lehner |
3- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341n |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
12157965309 = 3 · 78 · 19 · 37 |
Discriminant |
Eigenvalues |
2 3- 1 7+ 2 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,6647] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:989:8] |
Generators of the group modulo torsion |
j |
9834496/2109 |
j-invariant |
L |
18.261465968742 |
L(r)(E,1)/r! |
Ω |
1.1979635752761 |
Real period |
R |
5.0812524206673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341m1 |
Quadratic twists by: -7 |