Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dd |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.9729646937837E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-815763,-186424238] |
[a1,a2,a3,a4,a6] |
Generators |
[3353:186480:1] |
Generators of the group modulo torsion |
j |
4165509529/1368900 |
j-invariant |
L |
7.0707858879433 |
L(r)(E,1)/r! |
Ω |
0.16303048172883 |
Real period |
R |
5.4213680053897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824061 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15210h2 40560cq2 9360bs2 |
Quadratic twists by: -4 -3 13 |