Atkin-Lehner |
2+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12950f |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-51982336000000000 = -1 · 221 · 59 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-489242,132292916] |
[a1,a2,a3,a4,a6] |
j |
-6630791484555909/26614956032 |
j-invariant |
L |
0.71398894519289 |
L(r)(E,1)/r! |
Ω |
0.35699447259644 |
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 |
103600cb1 116550fi1 12950t1 90650y1 |
Quadratic twists by: -4 -3 5 -7 |