Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bq |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
132680325335040000 = 214 · 316 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157416,-16402320] |
[a1,a2,a3,a4,a6] |
Generators |
[-5154:69650:27] |
Generators of the group modulo torsion |
j |
105320555456854249/32392657552500 |
j-invariant |
L |
5.6935076352663 |
L(r)(E,1)/r! |
Ω |
0.24543160994049 |
Real period |
R |
5.7994848723154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030h4 |
Quadratic twists by: -4 |