Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bt |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-5873038080000 = -1 · 211 · 3 · 54 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4192,50412] |
[a1,a2,a3,a4,a6] |
j |
6363176350/4588311 |
j-invariant |
L |
0.9633482936208 |
L(r)(E,1)/r! |
Ω |
0.48167414679483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109200co1 54600z1 |
Quadratic twists by: -4 5 |