Atkin-Lehner |
3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11613a |
Isogeny class |
Conductor |
11613 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
146412288586431 = 38 · 710 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24697,-1386064] |
[a1,a2,a3,a4,a6] |
j |
14160193117057/1244483919 |
j-invariant |
L |
0.76594530664544 |
L(r)(E,1)/r! |
Ω |
0.38297265332272 |
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 |
34839g4 1659d3 |
Quadratic twists by: -3 -7 |