Atkin-Lehner |
3- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71175k |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-3.210890007019E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1273883,-1024884481] |
[a1,a2,a3,a4,a6] |
Generators |
[3156263:-128320978:1331] |
Generators of the group modulo torsion |
j |
-14631628068445782016/20549696044921875 |
j-invariant |
L |
6.864350610815 |
L(r)(E,1)/r! |
Ω |
0.067598983945607 |
Real period |
R |
2.538629358522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235g1 |
Quadratic twists by: 5 |