Atkin-Lehner |
2- 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bt |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
19024414062500 = 22 · 512 · 7 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8063,-186719] |
[a1,a2,a3,a4,a6] |
Generators |
[-361890:1821979:5832] |
Generators of the group modulo torsion |
j |
3710197529641/1217562500 |
j-invariant |
L |
15.45261961153 |
L(r)(E,1)/r! |
Ω |
0.51702748613735 |
Real period |
R |
7.4718559557049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710c1 |
Quadratic twists by: 5 |