Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dz |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5598720 |
Modular degree for the optimal curve |
Δ |
-4.9451866149902E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10762355,-14001824853] |
[a1,a2,a3,a4,a6] |
Generators |
[73942:6540825:8] |
Generators of the group modulo torsion |
j |
-326784782222946131643/11721923828125000 |
j-invariant |
L |
9.8569735632067 |
L(r)(E,1)/r! |
Ω |
0.041589007858246 |
Real period |
R |
6.5835862721095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850k2 11970k1 |
Quadratic twists by: -3 5 |