Atkin-Lehner |
3+ 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
69993b |
Isogeny class |
Conductor |
69993 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-108223806537 = -1 · 39 · 72 · 11 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1186,1486] |
[a1,a2,a3,a4,a6] |
j |
9380581029/5498339 |
j-invariant |
L |
1.2813710291192 |
L(r)(E,1)/r! |
Ω |
0.64068552399887 |
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 |
69993a2 |
Quadratic twists by: -3 |