Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2695b |
Isogeny class |
Conductor |
2695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39633006875 = 54 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2696,-54146] |
[a1,a2,a3,a4,a6] |
j |
18420660721/336875 |
j-invariant |
L |
1.3265722055849 |
L(r)(E,1)/r! |
Ω |
0.66328610279244 |
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 |
43120bx2 24255bt2 13475d2 385b2 |
Quadratic twists by: -4 -3 5 -7 |