Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650by |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
46061744400000000 = 210 · 32 · 58 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108588,-9159219] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:2153:1] |
Generators of the group modulo torsion |
j |
9062529616434169/2947951641600 |
j-invariant |
L |
7.8790487263898 |
L(r)(E,1)/r! |
Ω |
0.26980968198718 |
Real period |
R |
0.73005615178789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000663 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330h2 |
Quadratic twists by: 5 |