Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128v |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
973217947713536 = 220 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10770657,-13608993665] |
[a1,a2,a3,a4,a6] |
Generators |
[21834852373541162518:-4806431371257797027615:448522799319323] |
Generators of the group modulo torsion |
j |
13062552753151/92 |
j-invariant |
L |
5.5540204588696 |
L(r)(E,1)/r! |
Ω |
0.083337218774032 |
Real period |
R |
33.322569082174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bi2 2254d2 72128s2 |
Quadratic twists by: -4 8 -7 |