Atkin-Lehner |
2+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11210a |
Isogeny class |
Conductor |
11210 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-35529049331200000 = -1 · 212 · 55 · 196 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142484,22636240] |
[a1,a2,a3,a4,a6] |
Generators |
[136:2332:1] |
Generators of the group modulo torsion |
j |
-319906985009544874521/35529049331200000 |
j-invariant |
L |
3.0244367351104 |
L(r)(E,1)/r! |
Ω |
0.35689640458422 |
Real period |
R |
1.6948541348484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89680i1 100890r1 56050k1 |
Quadratic twists by: -4 -3 5 |