Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752h |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
240163309568 = 211 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7488,-250796] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:26:1] [100:102:1] |
Generators of the group modulo torsion |
j |
22675102789250/117267241 |
j-invariant |
L |
5.6465349178282 |
L(r)(E,1)/r! |
Ω |
0.51337943371478 |
Real period |
R |
2.7496888982144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376o2 99008bs2 |
Quadratic twists by: -4 8 |