Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200eg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2716692480000 = 215 · 33 · 54 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6675,-194350] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4080:1] [-50:120:1] |
Generators of the group modulo torsion |
j |
475854075/39304 |
j-invariant |
L |
10.299783287544 |
L(r)(E,1)/r! |
Ω |
0.53095939355776 |
Real period |
R |
0.26942276075376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650j1 61200dy2 61200cz1 |
Quadratic twists by: -4 -3 5 |