Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899j |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-48167032563 = -1 · 37 · 132 · 194 |
Discriminant |
Eigenvalues |
0 3- -2 -3 -6 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1326,21375] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-86:1] |
Generators of the group modulo torsion |
j |
-2092859392/390963 |
j-invariant |
L |
1.8846441243729 |
L(r)(E,1)/r! |
Ω |
1.0857783647004 |
Real period |
R |
0.21696924824212 |
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 |
9633l1 28899b1 |
Quadratic twists by: -3 13 |