Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328f |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20694548736 = 28 · 310 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3999,-97090] |
[a1,a2,a3,a4,a6] |
Generators |
[20730:572390:27] |
Generators of the group modulo torsion |
j |
37897488592/110889 |
j-invariant |
L |
4.2523186749916 |
L(r)(E,1)/r! |
Ω |
0.60046554254096 |
Real period |
R |
7.0817030682514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2664g2 21312bt2 1776a2 |
Quadratic twists by: -4 8 -3 |