Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bc |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-819242661445632 = -1 · 217 · 32 · 194 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15792,-1140588] |
[a1,a2,a3,a4,a6] |
Generators |
[1503:58482:1] |
Generators of the group modulo torsion |
j |
106328005859375/200010415392 |
j-invariant |
L |
8.1219111029756 |
L(r)(E,1)/r! |
Ω |
0.26260034596084 |
Real period |
R |
3.8660988206406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322g2 |
Quadratic twists by: -4 |