Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27664m |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1102296645632 = -1 · 225 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 1 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7768,-265744] |
[a1,a2,a3,a4,a6] |
j |
-12657482097625/269115392 |
j-invariant |
L |
1.0157828460787 |
L(r)(E,1)/r! |
Ω |
0.25394571151953 |
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 |
3458b1 110656w1 |
Quadratic twists by: -4 8 |