Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380r |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
5.6481033817991E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312199860,-2123123482008] |
[a1,a2,a3,a4,a6] |
j |
110851498348877648/186046875 |
j-invariant |
L |
2.5859725188546 |
L(r)(E,1)/r! |
Ω |
0.035916286093483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121380w2 |
Quadratic twists by: 17 |