Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
7120m |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-14931722240 = -1 · 225 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 -3 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197,-5782] |
[a1,a2,a3,a4,a6] |
Generators |
[669:3230:27] |
Generators of the group modulo torsion |
j |
206425071/3645440 |
j-invariant |
L |
6.2464997579164 |
L(r)(E,1)/r! |
Ω |
0.60746033466891 |
Real period |
R |
5.141487765881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
890f1 28480bv1 64080bb1 35600bh1 |
Quadratic twists by: -4 8 -3 5 |