Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874a |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-290025685580148 = -1 · 22 · 311 · 78 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38980,-3089708] |
[a1,a2,a3,a4,a6] |
Generators |
[314:3812:1] |
Generators of the group modulo torsion |
j |
-1136271999625/50309748 |
j-invariant |
L |
3.173116473959 |
L(r)(E,1)/r! |
Ω |
0.16944741743443 |
Real period |
R |
3.1210434107943 |
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 |
62622bu1 20874l1 |
Quadratic twists by: -3 -7 |