Atkin-Lehner |
2- 3+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024k |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-13802099853754368 = -1 · 220 · 33 · 136 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186568,-31466000] |
[a1,a2,a3,a4,a6] |
Generators |
[9850:320385:8] |
Generators of the group modulo torsion |
j |
-175338610176327625/3369653284608 |
j-invariant |
L |
4.5083349819828 |
L(r)(E,1)/r! |
Ω |
0.11472690646045 |
Real period |
R |
6.5493717804129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7878b1 |
Quadratic twists by: -4 |