Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42600w |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
85200000000 = 210 · 3 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 3 2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,8412] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:104:1] |
Generators of the group modulo torsion |
j |
487780/213 |
j-invariant |
L |
5.0389082217256 |
L(r)(E,1)/r! |
Ω |
0.97104077717153 |
Real period |
R |
2.5945914631915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200bj1 127800bd1 42600f1 |
Quadratic twists by: -4 -3 5 |