Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832bz |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
12711518797824 = 220 · 33 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5864,-23244] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:384:1] |
Generators of the group modulo torsion |
j |
5445273626857/3103398144 |
j-invariant |
L |
7.4198192089056 |
L(r)(E,1)/r! |
Ω |
0.59011030178402 |
Real period |
R |
1.0478011746889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854a1 |
Quadratic twists by: -4 |