Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384h |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
346143744 = 210 · 32 · 232 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13624,607556] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:966:1] |
Generators of the group modulo torsion |
j |
273130083274468/338031 |
j-invariant |
L |
7.4429373534389 |
L(r)(E,1)/r! |
Ω |
1.4424745589296 |
Real period |
R |
2.5799197999893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192c2 |
Quadratic twists by: -4 |