Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gt |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
347432203125000000 = 26 · 33 · 512 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257658,-41677812] |
[a1,a2,a3,a4,a6] |
j |
16079333824/2953125 |
j-invariant |
L |
2.5750483560695 |
L(r)(E,1)/r! |
Ω |
0.21458733915044 |
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 |
117600ew1 23520b1 16800bh1 |
Quadratic twists by: -4 5 -7 |