Atkin-Lehner |
5+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675s |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
4.4994783765845E+22 |
Discriminant |
Eigenvalues |
2 1 5+ -3 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10448758,-8056233981] |
[a1,a2,a3,a4,a6] |
Generators |
[-473106:14207833:216] |
Generators of the group modulo torsion |
j |
8074167225814442192896/2879666161014053125 |
j-invariant |
L |
13.48141110858 |
L(r)(E,1)/r! |
Ω |
0.086451077788928 |
Real period |
R |
7.7971330552919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735r1 |
Quadratic twists by: 5 |