Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600f |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
5452800 = 210 · 3 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 -2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,48] |
[a1,a2,a3,a4,a6] |
j |
487780/213 |
j-invariant |
L |
4.3426263733263 |
L(r)(E,1)/r! |
Ω |
2.1713131866798 |
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 |
85200n1 127800bp1 42600w1 |
Quadratic twists by: -4 -3 5 |