Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528q |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-22881723696 = -1 · 24 · 314 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,654,-3395] |
[a1,a2,a3,a4,a6] |
Generators |
[21:140:1] |
Generators of the group modulo torsion |
j |
2652219392/1961739 |
j-invariant |
L |
4.9317633398823 |
L(r)(E,1)/r! |
Ω |
0.67414192053138 |
Real period |
R |
3.6578079404964 |
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 |
43056k1 7176f1 |
Quadratic twists by: -4 -3 |