Atkin-Lehner |
2- 3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bv |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2182656 |
Modular degree for the optimal curve |
Δ |
-488195394288795648 = -1 · 214 · 313 · 7 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -6 13+ 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133663,27828785] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:1672:1] [-153:2020:1] |
Generators of the group modulo torsion |
j |
362270393789952311/669678181466112 |
j-invariant |
L |
12.032539843477 |
L(r)(E,1)/r! |
Ω |
0.20275524179706 |
Real period |
R |
0.35324492888806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214i1 |
Quadratic twists by: -3 |