Atkin-Lehner |
2- 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986x |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1325165313251052 = 22 · 37 · 74 · 134 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1381487,-624635125] |
[a1,a2,a3,a4,a6] |
j |
399978176922113906089/1817785066188 |
j-invariant |
L |
2.2280913108018 |
L(r)(E,1)/r! |
Ω |
0.13925570523698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25662l2 |
Quadratic twists by: -3 |