Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55760u |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1943236000000 = -1 · 28 · 56 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167,67074] |
[a1,a2,a3,a4,a6] |
Generators |
[38:340:1] |
Generators of the group modulo torsion |
j |
-2012024016/7590765625 |
j-invariant |
L |
6.2732279093554 |
L(r)(E,1)/r! |
Ω |
0.666783954807 |
Real period |
R |
1.5680311101472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13940f2 |
Quadratic twists by: -4 |