Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320x |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-270848000000 = -1 · 215 · 56 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- -4 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1480,11632] |
[a1,a2,a3,a4,a6] |
Generators |
[44:400:1] [9:160:1] |
Generators of the group modulo torsion |
j |
165348311/125000 |
j-invariant |
L |
7.1147610332688 |
L(r)(E,1)/r! |
Ω |
0.62643586875713 |
Real period |
R |
0.47323020786535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5290c2 42320n2 |
Quadratic twists by: -4 -23 |