Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300i |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1756958476000000 = -1 · 28 · 56 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22533,2407937] |
[a1,a2,a3,a4,a6] |
j |
-65536/91 |
j-invariant |
L |
5.0934417232197 |
L(r)(E,1)/r! |
Ω |
0.42445361588061 |
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 |
4732f1 9100g1 |
Quadratic twists by: 5 13 |