Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140h |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-1800960 = -1 · 28 · 3 · 5 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-63] |
[a1,a2,a3,a4,a6] |
Generators |
[7:14:1] |
Generators of the group modulo torsion |
j |
-65536/7035 |
j-invariant |
L |
4.6617998888393 |
L(r)(E,1)/r! |
Ω |
1.1713156213238 |
Real period |
R |
1.3266563409472 |
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 |
112560cp1 84420p1 |
Quadratic twists by: -4 -3 |