Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728p |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
267008 |
Modular degree for the optimal curve |
Δ |
-739791971072 = -1 · 28 · 77 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ -3 4 7- 11- -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51628,-4515380] |
[a1,a2,a3,a4,a6] |
j |
-59448328887665664/2889812387 |
j-invariant |
L |
2.2170475244606 |
L(r)(E,1)/r! |
Ω |
0.15836053745862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864a1 |
Quadratic twists by: -4 |