Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484b |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2844975770476399872 = -1 · 28 · 32 · 1312 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,306172,48205416] |
[a1,a2,a3,a4,a6] |
Generators |
[382:14858:1] |
Generators of the group modulo torsion |
j |
2568731006000/2302387893 |
j-invariant |
L |
5.8059251223927 |
L(r)(E,1)/r! |
Ω |
0.16599274280221 |
Real period |
R |
5.8294969501436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268a2 |
Quadratic twists by: 13 |