Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850eo |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-263580549120000 = -1 · 224 · 33 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114230,14908997] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-305:1] |
Generators of the group modulo torsion |
j |
-9768252938901075/15619588096 |
j-invariant |
L |
10.900763182295 |
L(r)(E,1)/r! |
Ω |
0.5516035981222 |
Real period |
R |
0.61756096336536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998405 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59850ba2 59850j1 |
Quadratic twists by: -3 5 |