Atkin-Lehner |
2+ 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12654c |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
2137210186464 = 25 · 36 · 195 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 5 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5526,142996] |
[a1,a2,a3,a4,a6] |
j |
25601949246817/2931701216 |
j-invariant |
L |
1.5950533201592 |
L(r)(E,1)/r! |
Ω |
0.79752666007961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101232bk1 1406d1 |
Quadratic twists by: -4 -3 |