Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bf |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9055603741863985152 = 214 · 3 · 74 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27072704,54227090688] |
[a1,a2,a3,a4,a6] |
Generators |
[-5984:43792:1] [-1904:314432:1] |
Generators of the group modulo torsion |
j |
535745688862577855368897/2210840757291012 |
j-invariant |
L |
8.1494604305347 |
L(r)(E,1)/r! |
Ω |
0.20336422502263 |
Real period |
R |
5.0091531767865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854o5 |
Quadratic twists by: -4 |