Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072co |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1421856473088 = -1 · 222 · 3 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 3 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11087873,14207168511] |
[a1,a2,a3,a4,a6] |
Generators |
[1215:50304:1] |
Generators of the group modulo torsion |
j |
-575080389302194842625/5423952 |
j-invariant |
L |
7.0607385152952 |
L(r)(E,1)/r! |
Ω |
0.42524475036598 |
Real period |
R |
4.1509851137917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072h2 18768g2 |
Quadratic twists by: -4 8 |