Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2184m |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7268352 = 211 · 3 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151424,-22730400] |
[a1,a2,a3,a4,a6] |
Generators |
[675:13530:1] |
Generators of the group modulo torsion |
j |
187491149065688834/3549 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4368d5 17472h5 6552l5 54600d6 |
Quadratic twists by: -4 8 -3 5 |