Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36456a |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6713280 |
Modular degree for the optimal curve |
Δ |
1.709448166367E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -1 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67596153,78679563453] |
[a1,a2,a3,a4,a6] |
j |
472355845220224000/236393522034597 |
j-invariant |
L |
0.24548927990154 |
L(r)(E,1)/r! |
Ω |
0.061372319974777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912z1 109368bm1 36456j1 |
Quadratic twists by: -4 -3 -7 |