Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7191f |
Isogeny class |
Conductor |
7191 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
27376137 = 36 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3- -4 -2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144,-581] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:79:8] |
Generators of the group modulo torsion |
j |
454756609/37553 |
j-invariant |
L |
3.2628390652105 |
L(r)(E,1)/r! |
Ω |
1.3849742011232 |
Real period |
R |
2.3558843641739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056t1 799a1 122247t1 |
Quadratic twists by: -4 -3 17 |