Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
492800000000 = 214 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3333,67037] |
[a1,a2,a3,a4,a6] |
j |
640000/77 |
j-invariant |
L |
2.6995251482961 |
L(r)(E,1)/r! |
Ω |
0.89984220252263 |
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 |
123200di1 30800p1 123200gk1 |
Quadratic twists by: -4 8 5 |