Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331a |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-797136798799467 = -1 · 311 · 74 · 374 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-914,1358660] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1180:1] |
Generators of the group modulo torsion |
j |
-115714886617/1093466116323 |
j-invariant |
L |
2.2162519074875 |
L(r)(E,1)/r! |
Ω |
0.40277099550395 |
Real period |
R |
1.3756277960845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37296cm3 777e4 58275o3 16317i4 |
Quadratic twists by: -4 -3 5 -7 |