Atkin-Lehner |
2- 3- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76212l |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
332264809728 = 28 · 36 · 293 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-266520,52959364] |
[a1,a2,a3,a4,a6] |
Generators |
[261:1085:1] |
Generators of the group modulo torsion |
j |
11218780017664000/1780397 |
j-invariant |
L |
6.8356914380389 |
L(r)(E,1)/r! |
Ω |
0.75457721385322 |
Real period |
R |
4.5294844017918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968511 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8468b2 |
Quadratic twists by: -3 |