Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158h |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-212094310742964 = -1 · 22 · 33 · 133 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2174,701588] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1039:1] |
Generators of the group modulo torsion |
j |
-24137569/4508244 |
j-invariant |
L |
3.8137436057925 |
L(r)(E,1)/r! |
Ω |
0.45893224786185 |
Real period |
R |
0.34625150948756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bx1 1482h1 |
Quadratic twists by: -3 -19 |