Atkin-Lehner |
2- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680s |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5715846400 = -1 · 28 · 52 · 114 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,124,3640] |
[a1,a2,a3,a4,a6] |
Generators |
[7:70:1] |
Generators of the group modulo torsion |
j |
817036976/22327525 |
j-invariant |
L |
2.502071874941 |
L(r)(E,1)/r! |
Ω |
1.0152425482584 |
Real period |
R |
2.4645065153746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13420e2 |
Quadratic twists by: -4 |