Atkin-Lehner |
5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025p |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
211578821125 = 53 · 74 · 893 |
Discriminant |
Eigenvalues |
-1 1 5- 7+ 3 -5 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1618,-11873] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:49:1] |
Generators of the group modulo torsion |
j |
1560895637/704969 |
j-invariant |
L |
3.1080257070565 |
L(r)(E,1)/r! |
Ω |
0.78538151149986 |
Real period |
R |
0.65955752272768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025o1 109025r1 |
Quadratic twists by: 5 -7 |