Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100s |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
3.3928432033781E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2706333,-1689668838] |
[a1,a2,a3,a4,a6] |
Generators |
[-862:1394:1] |
Generators of the group modulo torsion |
j |
70148364587368448/1085709825081 |
j-invariant |
L |
5.7716150385779 |
L(r)(E,1)/r! |
Ω |
0.11781797303234 |
Real period |
R |
4.0822966808087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86100bk1 |
Quadratic twists by: 5 |