Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140c |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-562800 = -1 · 24 · 3 · 52 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
17643776/35175 |
j-invariant |
L |
2.7512768746022 |
L(r)(E,1)/r! |
Ω |
1.5193039558256 |
Real period |
R |
0.90543991018149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560cj1 84420w1 |
Quadratic twists by: -4 -3 |