Atkin-Lehner |
2- 3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014n |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1568784 = -1 · 24 · 3 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 -7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29,17] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] [78:251:8] |
Generators of the group modulo torsion |
j |
2691419471/1568784 |
j-invariant |
L |
9.2743644576063 |
L(r)(E,1)/r! |
Ω |
1.6152891674088 |
Real period |
R |
0.71770156117644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042h1 |
Quadratic twists by: -3 |