Atkin-Lehner |
2- 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cx |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.9095566001279E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4608549,7661430069] |
[a1,a2,a3,a4,a6] |
Generators |
[-477462:18373651:216] |
Generators of the group modulo torsion |
j |
-92008532997354641473/162309632901931284 |
j-invariant |
L |
10.370828172857 |
L(r)(E,1)/r! |
Ω |
0.10918134831929 |
Real period |
R |
11.873397236802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000066724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094u4 |
Quadratic twists by: -7 |