Atkin-Lehner |
2- 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016m |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
95349653504 = 214 · 73 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5171,-142350] |
[a1,a2,a3,a4,a6] |
Generators |
[89:320:1] |
Generators of the group modulo torsion |
j |
3733252610697/23278724 |
j-invariant |
L |
3.5349860558462 |
L(r)(E,1)/r! |
Ω |
0.56320830234241 |
Real period |
R |
3.1382581218575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502a1 |
Quadratic twists by: -4 |