Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bn |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
-5.7654428990669E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3760853,-4608472137] |
[a1,a2,a3,a4,a6] |
Generators |
[11809:1264086:1] |
Generators of the group modulo torsion |
j |
-38081092648960/37321507107 |
j-invariant |
L |
6.3556592154784 |
L(r)(E,1)/r! |
Ω |
0.052133220301955 |
Real period |
R |
1.1952145699317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700x1 5100d1 |
Quadratic twists by: 5 17 |