Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ce |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[1576643818:106590781440:29791] |
Generators of the group modulo torsion |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
7.9828710751233 |
L(r)(E,1)/r! |
Ω |
0.1036962805511 |
Real period |
R |
9.6228994792477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ef6 2394n6 25536m6 |
Quadratic twists by: -4 8 -3 |