Atkin-Lehner |
2+ 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20862o |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
2.1863699389954E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1015333020,-12452370263172] |
[a1,a2,a3,a4,a6] |
j |
158789475730451751965089053121/299913571878657732 |
j-invariant |
L |
1.069811885299 |
L(r)(E,1)/r! |
Ω |
0.026745297132475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6954o1 |
Quadratic twists by: -3 |