Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899s |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-601705183131 = -1 · 38 · 136 · 19 |
Discriminant |
Eigenvalues |
-2 3- -3 5 1 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3549,-89528] |
[a1,a2,a3,a4,a6] |
Generators |
[364:6844:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
2.8572771478686 |
L(r)(E,1)/r! |
Ω |
0.30717856183273 |
Real period |
R |
2.3254203766868 |
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 |
9633d1 171d1 |
Quadratic twists by: -3 13 |