Atkin-Lehner |
2- 3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570r |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
10241064900 = 22 · 39 · 52 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2837,-57239] |
[a1,a2,a3,a4,a6] |
Generators |
[2198:34537:8] |
Generators of the group modulo torsion |
j |
128252814507/520300 |
j-invariant |
L |
9.0449918492403 |
L(r)(E,1)/r! |
Ω |
0.65433878766932 |
Real period |
R |
3.455775517089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42570a1 |
Quadratic twists by: -3 |