Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bj |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-127530812886220800 = -1 · 230 · 36 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26307,-17253419] |
[a1,a2,a3,a4,a6] |
Generators |
[14026090:461602123:12167] |
Generators of the group modulo torsion |
j |
-110478923954905/6997575467008 |
j-invariant |
L |
4.1567926562147 |
L(r)(E,1)/r! |
Ω |
0.14505922859089 |
Real period |
R |
7.1639576065722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650v2 59850gn2 |
Quadratic twists by: -3 5 |