Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384i |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-8.7985095456346E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-793064,-1453050684] |
[a1,a2,a3,a4,a6] |
Generators |
[30303868:-202107555:21952] |
Generators of the group modulo torsion |
j |
-53870252547969208228/859229447815880199 |
j-invariant |
L |
8.560904618288 |
L(r)(E,1)/r! |
Ω |
0.067733165053363 |
Real period |
R |
9.0279730266599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39192g3 |
Quadratic twists by: -4 |