Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200eg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
438581329920000 = 221 · 39 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108675,13752450] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:5248:1] [159:702:1] |
Generators of the group modulo torsion |
j |
2816964675/8704 |
j-invariant |
L |
10.299783287544 |
L(r)(E,1)/r! |
Ω |
0.53095939355776 |
Real period |
R |
2.4248048467838 |
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 |
7650j2 61200dy1 61200cz2 |
Quadratic twists by: -4 -3 5 |