Atkin-Lehner |
2- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21080j |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
-187085775954800 = -1 · 24 · 52 · 17 · 317 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8240,589025] |
[a1,a2,a3,a4,a6] |
j |
3866630371061504/11692860997175 |
j-invariant |
L |
1.6011287801211 |
L(r)(E,1)/r! |
Ω |
0.40028219503028 |
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 |
42160j1 105400a1 |
Quadratic twists by: -4 5 |