Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160di |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2117197958400000000 = 214 · 39 · 58 · 75 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9658332,-11552961744] |
[a1,a2,a3,a4,a6] |
j |
308971819397054448/6565234375 |
j-invariant |
L |
3.4255835719621 |
L(r)(E,1)/r! |
Ω |
0.085639589299053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160o2 5040c2 20160cx2 100800it2 |
Quadratic twists by: -4 8 -3 5 |