Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bp |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-10425256567262208 = -1 · 210 · 313 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4080,4913512] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2223:1] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
6.0018777025679 |
L(r)(E,1)/r! |
Ω |
0.32730048859131 |
Real period |
R |
2.2921894065859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608es1 4788a1 25536bh1 |
Quadratic twists by: -4 8 -3 |