Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bb |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-748181605600687500 = -1 · 22 · 318 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-903443,-332904769] |
[a1,a2,a3,a4,a6] |
Generators |
[135477064905:3381949301996:94196375] |
Generators of the group modulo torsion |
j |
-111865973128998779881/1026312216187500 |
j-invariant |
L |
9.3445750675246 |
L(r)(E,1)/r! |
Ω |
0.077384987724272 |
Real period |
R |
15.094295648284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490n2 |
Quadratic twists by: -3 |