Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bb |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-80021094400 = -1 · 216 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1388,-24112] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5576:1] |
Generators of the group modulo torsion |
j |
-4512447684/1221025 |
j-invariant |
L |
5.7293897126105 |
L(r)(E,1)/r! |
Ω |
0.38564649942379 |
Real period |
R |
3.7141460644131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720e2 17680d2 |
Quadratic twists by: -4 8 |