Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bw |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22219925225472 = 222 · 36 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-234369,43749153] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2688:1] |
Generators of the group modulo torsion |
j |
5431079301822433/84762288 |
j-invariant |
L |
6.177653236946 |
L(r)(E,1)/r! |
Ω |
0.62076450463812 |
Real period |
R |
2.4879214232164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bh2 26832t2 |
Quadratic twists by: -4 8 |