Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328h |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
3884112 = 24 · 38 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,-385] |
[a1,a2,a3,a4,a6] |
Generators |
[31:162:1] |
Generators of the group modulo torsion |
j |
10061824/333 |
j-invariant |
L |
2.9467187399572 |
L(r)(E,1)/r! |
Ω |
1.5053259835837 |
Real period |
R |
1.9575286496697 |
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 |
2664d1 21312bu1 1776b1 |
Quadratic twists by: -4 8 -3 |