Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700y |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
-8.3569877152644E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25733042,129684955537] |
[a1,a2,a3,a4,a6] |
Generators |
[21766206:5501945875:343] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
5.4830096729838 |
L(r)(E,1)/r! |
Ω |
0.052677791456683 |
Real period |
R |
4.3369080227339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700ca1 5100t1 |
Quadratic twists by: 5 17 |