Atkin-Lehner |
2- 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248n |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
4306756608 = 210 · 33 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,5966] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:112:1] [-5:96:1] |
Generators of the group modulo torsion |
j |
1230187500/155771 |
j-invariant |
L |
10.923352007842 |
L(r)(E,1)/r! |
Ω |
1.3334842273171 |
Real period |
R |
2.0478967400181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94248d1 |
Quadratic twists by: -3 |