Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024eg |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1908799283965464576 = 212 · 310 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1032152,-398444460] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:2220:1] |
Generators of the group modulo torsion |
j |
252352098250057/3961065969 |
j-invariant |
L |
9.9132321749238 |
L(r)(E,1)/r! |
Ω |
0.14992592850988 |
Real period |
R |
3.3060432795279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007447 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5439b2 12432bk2 |
Quadratic twists by: -4 -7 |