Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24208a |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
137888768 = 210 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44888,3645604] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:2124:1] [72:890:1] |
Generators of the group modulo torsion |
j |
9768417154118500/134657 |
j-invariant |
L |
5.280236593941 |
L(r)(E,1)/r! |
Ω |
1.3054361481812 |
Real period |
R |
2.0224032409772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12104a1 96832t1 |
Quadratic twists by: -4 8 |