Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99636b |
Isogeny class |
Conductor |
99636 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-2.5804211515378E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-186947941,983791295591] |
[a1,a2,a3,a4,a6] |
Generators |
[-5143:1345086:1] [7625:41154:1] |
Generators of the group modulo torsion |
j |
-59996263288753291264/214254041139 |
j-invariant |
L |
13.496531800093 |
L(r)(E,1)/r! |
Ω |
0.12639145068789 |
Real period |
R |
0.44493159037743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5244a1 |
Quadratic twists by: -19 |