Atkin-Lehner |
2- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35392n |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
955083451793408 = 221 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218924,-39398448] |
[a1,a2,a3,a4,a6] |
Generators |
[1665708717204084:49614399453028080:1493663175991] |
Generators of the group modulo torsion |
j |
4426535117697057/3643354232 |
j-invariant |
L |
5.5685512724696 |
L(r)(E,1)/r! |
Ω |
0.22072304026116 |
Real period |
R |
25.228681454734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35392g4 8848c3 |
Quadratic twists by: -4 8 |