Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050cm |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-803415609080000 = -1 · 26 · 54 · 77 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43513,3732231] |
[a1,a2,a3,a4,a6] |
Generators |
[41:1400:1] |
Generators of the group modulo torsion |
j |
-123911940625/10926272 |
j-invariant |
L |
7.9885976960753 |
L(r)(E,1)/r! |
Ω |
0.49196893918474 |
Real period |
R |
0.45105589787876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050u1 10150o1 |
Quadratic twists by: 5 -7 |