Atkin-Lehner |
5- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475t |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2291280985455875 = 53 · 73 · 192 · 236 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33227,370006] |
[a1,a2,a3,a4,a6] |
j |
32455958968470141/18330247883647 |
j-invariant |
L |
2.3825614398552 |
L(r)(E,1)/r! |
Ω |
0.39709357022974 |
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 |
76475w2 |
Quadratic twists by: 5 |