Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048m |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3928501430452224 = 216 · 34 · 19 · 794 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44664,-2011536] |
[a1,a2,a3,a4,a6] |
Generators |
[258:1890:1] |
Generators of the group modulo torsion |
j |
2405726943697657/959106794544 |
j-invariant |
L |
2.7960517515733 |
L(r)(E,1)/r! |
Ω |
0.33989974691342 |
Real period |
R |
4.1130535949836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9006c4 |
Quadratic twists by: -4 |