Atkin-Lehner |
2+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
48416g |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241152 |
Modular degree for the optimal curve |
Δ |
3768301814336 = 26 · 174 · 893 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235182,-43820560] |
[a1,a2,a3,a4,a6] |
Generators |
[-122622580:1656735:438976] |
Generators of the group modulo torsion |
j |
22478008065004948672/58879715849 |
j-invariant |
L |
8.7457434726338 |
L(r)(E,1)/r! |
Ω |
0.21679459440301 |
Real period |
R |
6.7235251696094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416i1 96832bf1 |
Quadratic twists by: -4 8 |