Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5124c |
Isogeny class |
Conductor |
5124 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
296520715008 = 28 · 36 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8473948,-9497428108] |
[a1,a2,a3,a4,a6] |
Generators |
[3809810:116322921:1000] |
Generators of the group modulo torsion |
j |
262870094943539630818000/1158284043 |
j-invariant |
L |
4.6792073661985 |
L(r)(E,1)/r! |
Ω |
0.088486720946845 |
Real period |
R |
11.751185353335 |
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 |
20496h4 81984k4 15372e4 128100c4 |
Quadratic twists by: -4 8 -3 5 |