Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280u |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-90066127500000000 = -1 · 28 · 38 · 510 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151167,26837426] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2500:1] |
Generators of the group modulo torsion |
j |
-2047044112221904/482607421875 |
j-invariant |
L |
8.2082014898789 |
L(r)(E,1)/r! |
Ω |
0.32375424315093 |
Real period |
R |
1.2676592867242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760p2 |
Quadratic twists by: -3 |