Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2184m |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35082946848768 = -1 · 211 · 3 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8624,-422688] |
[a1,a2,a3,a4,a6] |
Generators |
[1338:13485:8] |
Generators of the group modulo torsion |
j |
-34639400027234/17130345141 |
j-invariant |
L |
3.2926260654929 |
L(r)(E,1)/r! |
Ω |
0.24201965477099 |
Real period |
R |
6.8023939390554 |
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 |
4368d6 17472h6 6552l6 54600d5 |
Quadratic twists by: -4 8 -3 5 |