Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ii |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3835330560000000000 = 224 · 34 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673633,190584863] |
[a1,a2,a3,a4,a6] |
Generators |
[-907:7500:1] |
Generators of the group modulo torsion |
j |
8253429989329/936360000 |
j-invariant |
L |
4.7974247541858 |
L(r)(E,1)/r! |
Ω |
0.24027432591236 |
Real period |
R |
2.49580595988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600o2 20400ca2 16320ch2 |
Quadratic twists by: -4 8 5 |