Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664j |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-4352983957504 = -1 · 220 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ -1 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6683,-233014] |
[a1,a2,a3,a4,a6] |
Generators |
[15395:112642:125] |
Generators of the group modulo torsion |
j |
-8058944177649/1062740224 |
j-invariant |
L |
4.0203534711417 |
L(r)(E,1)/r! |
Ω |
0.26208725457588 |
Real period |
R |
7.6698759686877 |
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 |
3458e1 110656y1 |
Quadratic twists by: -4 8 |