Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158a |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-2703168 = -1 · 26 · 32 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26,84] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] [-4:14:1] |
Generators of the group modulo torsion |
j |
-5714497/7488 |
j-invariant |
L |
4.6791636975157 |
L(r)(E,1)/r! |
Ω |
2.307050061856 |
Real period |
R |
0.50705051603346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bz1 28158s1 |
Quadratic twists by: -3 -19 |