Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752p |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-185766319950848 = -1 · 210 · 75 · 133 · 173 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- -5 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25507,1699570] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:728:1] [73:-476:1] |
Generators of the group modulo torsion |
j |
-1792263671875044/181412421827 |
j-invariant |
L |
3.8764343968048 |
L(r)(E,1)/r! |
Ω |
0.5541264463741 |
Real period |
R |
0.038864318405727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376m1 99008da1 |
Quadratic twists by: -4 8 |