Atkin-Lehner |
3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175i |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-37825313175 = -1 · 313 · 52 · 13 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1218,18747] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-138:1] |
Generators of the group modulo torsion |
j |
-7993700147785/1513012527 |
j-invariant |
L |
3.5933224330034 |
L(r)(E,1)/r! |
Ω |
1.1074668398088 |
Real period |
R |
0.24958708287012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71175f1 |
Quadratic twists by: 5 |