Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400el |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
242121642000000000 = 210 · 3 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157208,-3942912] |
[a1,a2,a3,a4,a6] |
Generators |
[-148525611:-5450423250:2048383] |
Generators of the group modulo torsion |
j |
5324/3 |
j-invariant |
L |
6.8669070325473 |
L(r)(E,1)/r! |
Ω |
0.25816254434941 |
Real period |
R |
13.299580405539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800bt1 88200dk1 29400ba1 29400dd1 |
Quadratic twists by: -4 -3 5 -7 |