Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537n |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1673311998501 = 35 · 116 · 132 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-609543795,-5792409984539] |
[a1,a2,a3,a4,a6] |
Generators |
[62011629810667255668706916306:-12402428543557487049177007572357:1163856298005739012254328] |
Generators of the group modulo torsion |
j |
14137816614617731097417473/944541 |
j-invariant |
L |
14.2029878043 |
L(r)(E,1)/r! |
Ω |
0.030384236381765 |
Real period |
R |
46.744593535518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
897e4 |
Quadratic twists by: -11 |