Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075s |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
492986671875 = 33 · 56 · 232 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4163,-98058] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:94:1] |
Generators of the group modulo torsion |
j |
510657175657/31551147 |
j-invariant |
L |
4.8211224032482 |
L(r)(E,1)/r! |
Ω |
0.59665644998403 |
Real period |
R |
1.3467052950672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3243b2 |
Quadratic twists by: 5 |