Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bl |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8719073280 = 215 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11352961,-14719742495] |
[a1,a2,a3,a4,a6] |
Generators |
[49330684183223401926:5203464980704986174697:4056651478283256] |
Generators of the group modulo torsion |
j |
4938570447920813018888/266085 |
j-invariant |
L |
5.5128368885744 |
L(r)(E,1)/r! |
Ω |
0.082247416486434 |
Real period |
R |
33.513738941385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080ce4 35040q4 |
Quadratic twists by: -4 8 |