Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bd |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-190417082336870400 = -1 · 216 · 314 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156296,-31672080] |
[a1,a2,a3,a4,a6] |
Generators |
[98076:5873120:27] |
Generators of the group modulo torsion |
j |
-103088479321279369/46488545492400 |
j-invariant |
L |
5.3106032465476 |
L(r)(E,1)/r! |
Ω |
0.11749526063097 |
Real period |
R |
5.649805892524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998487853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510f2 |
Quadratic twists by: -4 |