Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072dh |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1326071808 = -1 · 214 · 32 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,271,-273] |
[a1,a2,a3,a4,a6] |
Generators |
[3:24:1] |
Generators of the group modulo torsion |
j |
133846832/80937 |
j-invariant |
L |
5.2790012335244 |
L(r)(E,1)/r! |
Ω |
0.88626690601937 |
Real period |
R |
1.4891115751632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072t2 18768s2 |
Quadratic twists by: -4 8 |