Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140q |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-10257030000 = -1 · 24 · 37 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190,4913] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-135:1] |
Generators of the group modulo torsion |
j |
-47659369216/641064375 |
j-invariant |
L |
7.1625955669601 |
L(r)(E,1)/r! |
Ω |
1.0901551653201 |
Real period |
R |
0.078217301130456 |
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 |
112560by1 84420i1 |
Quadratic twists by: -4 -3 |