Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560l |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1712256 |
Modular degree for the optimal curve |
Δ |
-1.5921325239204E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- -3 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5764344,-2909997035] |
[a1,a2,a3,a4,a6] |
Generators |
[14514:1771561:1] |
Generators of the group modulo torsion |
j |
229651351304189696/172613560719655 |
j-invariant |
L |
2.8290490278114 |
L(r)(E,1)/r! |
Ω |
0.069345527733789 |
Real period |
R |
1.5690929400733 |
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 |
43120c1 107800e1 21560w1 |
Quadratic twists by: -4 5 -7 |