Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810z |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
649279184400 = 24 · 311 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8100,279936] |
[a1,a2,a3,a4,a6] |
Generators |
[27:270:1] |
Generators of the group modulo torsion |
j |
80627166849601/890643600 |
j-invariant |
L |
4.6199666004244 |
L(r)(E,1)/r! |
Ω |
0.91408344292725 |
Real period |
R |
0.63177583116094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cw1 |
Quadratic twists by: -3 |