Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440bb |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10326947755944960 = -1 · 210 · 310 · 5 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52923,6772358] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:3384:1] [122:1460:1] |
Generators of the group modulo torsion |
j |
-21959861222884/13833895635 |
j-invariant |
L |
11.121531492318 |
L(r)(E,1)/r! |
Ω |
0.37591990814818 |
Real period |
R |
3.6981053852838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480x3 |
Quadratic twists by: -3 |