Atkin-Lehner |
2+ 3+ 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850k |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1077941250000000 = 27 · 33 · 510 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9198432000000,-10737890522439696000] |
[a1,a2,a3,a4,a6] |
Generators |
[178091367981306178319733148896663607069380835898248790061681144958769477094124361681246059645003382139565234341515:-84461185398944505493533588686543735814595668100734713617530242023830975416198836465162555792336224457815358045346145:49418513381600193622554812874314058096281981759743580442585960997483973401665538146561854007216627490445071] |
Generators of the group modulo torsion |
j |
5508648894449866775535215811523768320001/68988240000 |
j-invariant |
L |
3.8964000928146 |
L(r)(E,1)/r! |
Ω |
0.0027413917668767 |
Real period |
R |
177.66523535595 |
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 |
23370x6 |
Quadratic twists by: 5 |