Atkin-Lehner |
2- 11- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264p |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4439232512 = 212 · 112 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4475,115178] |
[a1,a2,a3,a4,a6] |
Generators |
[37:16:1] |
Generators of the group modulo torsion |
j |
2419596140625/1083797 |
j-invariant |
L |
6.9017897045139 |
L(r)(E,1)/r! |
Ω |
1.35809511413 |
Real period |
R |
1.2704908521802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7579c2 |
Quadratic twists by: -4 |