Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400a |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-281883375000000 = -1 · 26 · 33 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11325,931500] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:750:1] |
Generators of the group modulo torsion |
j |
-5949419328/10440125 |
j-invariant |
L |
7.6217171360782 |
L(r)(E,1)/r! |
Ω |
0.49067361065709 |
Real period |
R |
1.9416463939669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400cc1 122400ch1 24480w1 |
Quadratic twists by: -4 -3 5 |