Atkin-Lehner |
2+ 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20502f |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
3.9464506173432E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21769902,39089802964] |
[a1,a2,a3,a4,a6] |
j |
1565184783388747048998625/541351250664357888 |
j-invariant |
L |
0.33098499495189 |
L(r)(E,1)/r! |
Ω |
0.16549249747594 |
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 |
6834n1 |
Quadratic twists by: -3 |