Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cn |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13900342089682944 = 212 · 312 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-701849,226478169] |
[a1,a2,a3,a4,a6] |
j |
9334594126684326592/3393638205489 |
j-invariant |
L |
1.5569811843411 |
L(r)(E,1)/r! |
Ω |
0.38924529608533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536cu2 12768bc1 76608fl2 |
Quadratic twists by: -4 8 -3 |