Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ef |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1139344666307592192 = 236 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5637145260,-162905952170288] |
[a1,a2,a3,a4,a6] |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
2.5089802409637 |
L(r)(E,1)/r! |
Ω |
0.017423473861495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ce6 19152bl6 25536cw6 |
Quadratic twists by: -4 8 -3 |