Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840dp |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
49864570306560000 = 236 · 33 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140268,17129808] |
[a1,a2,a3,a4,a6] |
j |
43121696645763/7045120000 |
j-invariant |
L |
1.3628632430152 |
L(r)(E,1)/r! |
Ω |
0.34071560202985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840k1 30960z1 123840ea1 |
Quadratic twists by: -4 8 -3 |