Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
25632d |
Isogeny class |
Conductor |
25632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74240 |
Modular degree for the optimal curve |
Δ |
-64577875968 = -1 · 212 · 311 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23592,1394800] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:405:1] [68:324:1] |
Generators of the group modulo torsion |
j |
-486329388544/21627 |
j-invariant |
L |
5.8246471377374 |
L(r)(E,1)/r! |
Ω |
1.0378760460152 |
Real period |
R |
0.70151045012817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25632l1 51264r1 8544d1 |
Quadratic twists by: -4 8 -3 |