Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400ck |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
734400000000 = 212 · 33 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6300,188000] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:500:1] |
Generators of the group modulo torsion |
j |
16003008/425 |
j-invariant |
L |
5.6598668302687 |
L(r)(E,1)/r! |
Ω |
0.89834483624781 |
Real period |
R |
0.78754095554163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400j2 122400d2 24480e2 |
Quadratic twists by: -4 -3 5 |