Atkin-Lehner |
3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12765a |
Isogeny class |
Conductor |
12765 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
118787069025 = 38 · 52 · 232 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3133,-66752] |
[a1,a2,a3,a4,a6] |
Generators |
[122676:5309027:64] |
Generators of the group modulo torsion |
j |
3402682844867929/118787069025 |
j-invariant |
L |
4.9480317586003 |
L(r)(E,1)/r! |
Ω |
0.63947250157706 |
Real period |
R |
7.7376771423284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38295j2 63825o2 |
Quadratic twists by: -3 5 |