Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775br |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
359635759259765625 = 33 · 59 · 79 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6162388,5885414156] |
[a1,a2,a3,a4,a6] |
j |
328366190699/4563 |
j-invariant |
L |
0.55181175181926 |
L(r)(E,1)/r! |
Ω |
0.27590587593345 |
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 |
47775di2 47775dj2 |
Quadratic twists by: 5 -7 |