Atkin-Lehner |
2- 3+ 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550bx |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
470592000000 = 212 · 32 · 56 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4363,-107719] |
[a1,a2,a3,a4,a6] |
j |
587848678633/30117888 |
j-invariant |
L |
7.0715486928976 |
L(r)(E,1)/r! |
Ω |
0.58929575391498 |
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 |
4902f1 |
Quadratic twists by: 5 |