Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536cu |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
192 |
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] |
Generators |
[-485:264:1] |
Generators of the group modulo torsion |
j |
9334594126684326592/3393638205489 |
j-invariant |
L |
5.7661212796805 |
L(r)(E,1)/r! |
Ω |
0.16494838103979 |
Real period |
R |
2.9130938031099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536cn2 12768m1 76608dw2 |
Quadratic twists by: -4 8 -3 |