Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bb |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
401025378600000000 = 29 · 312 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192120,10992600] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:-5250:1] |
Generators of the group modulo torsion |
j |
1531700117197871048/783252692578125 |
j-invariant |
L |
7.8239726847492 |
L(r)(E,1)/r! |
Ω |
0.26441313039903 |
Real period |
R |
0.2054858000512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960j3 73920ep3 110880de3 |
Quadratic twists by: -4 8 -3 |