Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050bw |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-213238812500 = -1 · 22 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1455,-30453] |
[a1,a2,a3,a4,a6] |
Generators |
[555:12756:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
6.1155003053592 |
L(r)(E,1)/r! |
Ω |
0.37585862792155 |
Real period |
R |
4.0676865260199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2842c1 1450f1 |
Quadratic twists by: 5 -7 |