Atkin-Lehner |
2- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21824r |
Isogeny class |
Conductor |
21824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3841024 = -1 · 210 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 11+ 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,31] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] [10:39:1] |
Generators of the group modulo torsion |
j |
6243584/3751 |
j-invariant |
L |
5.153444631477 |
L(r)(E,1)/r! |
Ω |
1.5209772760732 |
Real period |
R |
1.6941228223944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21824n1 5456i1 |
Quadratic twists by: -4 8 |