Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520dt |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-9132912000000 = -1 · 210 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,243864] |
[a1,a2,a3,a4,a6] |
Generators |
[93:675:1] |
Generators of the group modulo torsion |
j |
-1419579648/453125 |
j-invariant |
L |
7.4540416454003 |
L(r)(E,1)/r! |
Ω |
0.69036592655106 |
Real period |
R |
0.89976940193106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520k2 20880bg2 83520dn1 |
Quadratic twists by: -4 8 -3 |