Atkin-Lehner |
2+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53872b |
Isogeny class |
Conductor |
53872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
106047678464 = 211 · 72 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184,1184] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:987:8] |
Generators of the group modulo torsion |
j |
89704786754/51781093 |
j-invariant |
L |
7.4455211513946 |
L(r)(E,1)/r! |
Ω |
0.90002565925302 |
Real period |
R |
4.1362827130576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26936a2 |
Quadratic twists by: -4 |