Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608eu |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
675528118272 = 212 · 311 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-221700,40178752] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:7384:1] [188:2268:1] |
Generators of the group modulo torsion |
j |
403583419000000/226233 |
j-invariant |
L |
10.671495590304 |
L(r)(E,1)/r! |
Ω |
0.74593391575853 |
Real period |
R |
1.7882776484723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608eb2 38304u1 25536db2 |
Quadratic twists by: -4 8 -3 |