Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bn |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
275632422912 = 216 · 33 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4488,-114444] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:42:1] |
Generators of the group modulo torsion |
j |
2441288319625/67293072 |
j-invariant |
L |
7.7572050969874 |
L(r)(E,1)/r! |
Ω |
0.58426439246563 |
Real period |
R |
1.1064062202237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854d1 |
Quadratic twists by: -4 |