Atkin-Lehner |
3+ 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16359b |
Isogeny class |
Conductor |
16359 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
101454968097 = 33 · 76 · 19 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2443,-44896] |
[a1,a2,a3,a4,a6] |
j |
1612520422584625/101454968097 |
j-invariant |
L |
0.68175249708615 |
L(r)(E,1)/r! |
Ω |
0.68175249708615 |
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 |
49077b2 114513l2 |
Quadratic twists by: -3 -7 |