Atkin-Lehner |
2- 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024h |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
19096272 = 24 · 32 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] [24:102:1] |
Generators of the group modulo torsion |
j |
8077950976/1193517 |
j-invariant |
L |
7.2605441993829 |
L(r)(E,1)/r! |
Ω |
1.5049746504967 |
Real period |
R |
4.8243631193355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15756c1 |
Quadratic twists by: -4 |