Atkin-Lehner |
2+ 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670x |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
435511296 |
Modular degree for the optimal curve |
Δ |
9.9946003499897E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223298142939,-40613945388123227] |
[a1,a2,a3,a4,a6] |
j |
1689085048460812878252782170500247729/13710014197516800000000000 |
j-invariant |
L |
2.4446725604543 |
L(r)(E,1)/r! |
Ω |
0.0069450963811245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890w1 |
Quadratic twists by: -3 |