Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100bc |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
466924500000000 = 28 · 37 · 59 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 5 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125333,-17088537] |
[a1,a2,a3,a4,a6] |
j |
435465224192/933849 |
j-invariant |
L |
3.5527698601254 |
L(r)(E,1)/r! |
Ω |
0.2537691724534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100o1 |
Quadratic twists by: 5 |