Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568cc |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-92752128 = -1 · 28 · 36 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-646] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2698:1] |
Generators of the group modulo torsion |
j |
-810448/497 |
j-invariant |
L |
3.7925327149126 |
L(r)(E,1)/r! |
Ω |
0.715457488249 |
Real period |
R |
5.3008498430386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17892d1 7952g1 |
Quadratic twists by: -4 -3 |