Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018r |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19170158883876 = 22 · 314 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7236,-106628] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:383:1] |
Generators of the group modulo torsion |
j |
57481172513857/26296514244 |
j-invariant |
L |
4.434109558526 |
L(r)(E,1)/r! |
Ω |
0.54061511683608 |
Real period |
R |
2.0504927722316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006w2 126126co2 |
Quadratic twists by: -3 -7 |