Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576t |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
881605553209344 = 214 · 312 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24224,-247296] |
[a1,a2,a3,a4,a6] |
Generators |
[8994:852786:1] |
Generators of the group modulo torsion |
j |
383812633485217/215235730764 |
j-invariant |
L |
5.1624142774341 |
L(r)(E,1)/r! |
Ω |
0.41139974956989 |
Real period |
R |
6.2742068790142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322h2 |
Quadratic twists by: -4 |