Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120ba |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
496886400000000 = 213 · 37 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329043,72640658] |
[a1,a2,a3,a4,a6] |
Generators |
[115129:37638:343] |
Generators of the group modulo torsion |
j |
1319453848668241/166406250 |
j-invariant |
L |
6.5374055559846 |
L(r)(E,1)/r! |
Ω |
0.50399150199956 |
Real period |
R |
6.4856307398871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390i3 17040q3 |
Quadratic twists by: -4 -3 |