Atkin-Lehner |
2- 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816h |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
949184282755072 = 228 · 73 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3 -4 7+ 3 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59947,-5451430] |
[a1,a2,a3,a4,a6] |
Generators |
[33429:1151306:27] |
Generators of the group modulo torsion |
j |
5816558847720321/231734444032 |
j-invariant |
L |
9.1151173953835 |
L(r)(E,1)/r! |
Ω |
0.30586026576877 |
Real period |
R |
7.45039354589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102g1 |
Quadratic twists by: -4 |