Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342h |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-83766362272525422 = -1 · 2 · 314 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,109359,355459] |
[a1,a2,a3,a4,a6] |
Generators |
[4553:305726:1] |
Generators of the group modulo torsion |
j |
1686433811327/976683582 |
j-invariant |
L |
4.2252361108549 |
L(r)(E,1)/r! |
Ω |
0.20464126692423 |
Real period |
R |
5.1617596176476 |
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 |
9114t4 3906i4 |
Quadratic twists by: -3 -7 |