Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144df |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-412003279415033856 = -1 · 214 · 34 · 112 · 376 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,141551,23145551] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:45177:1] |
Generators of the group modulo torsion |
j |
19144301716363952/25146684534609 |
j-invariant |
L |
4.4060270785528 |
L(r)(E,1)/r! |
Ω |
0.20126730518147 |
Real period |
R |
0.45607124697018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144j2 19536r2 |
Quadratic twists by: -4 8 |