Atkin-Lehner |
2- 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
25632i |
Isogeny class |
Conductor |
25632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-9842688 = -1 · 212 · 33 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] [9:33:1] |
Generators of the group modulo torsion |
j |
13824/89 |
j-invariant |
L |
6.7418679558979 |
L(r)(E,1)/r! |
Ω |
1.6646539104251 |
Real period |
R |
1.0125029463598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25632a1 51264c1 25632b1 |
Quadratic twists by: -4 8 -3 |