Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gi |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
173612978000000000 = 210 · 59 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248533,43354437] |
[a1,a2,a3,a4,a6] |
j |
106110329552896/10850811125 |
j-invariant |
L |
3.7433308293992 |
L(r)(E,1)/r! |
Ω |
0.31194428376638 |
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 |
123200h1 30800bn1 24640bi1 |
Quadratic twists by: -4 8 5 |