Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dw |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-158802997500000 = -1 · 25 · 33 · 57 · 73 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18380,1139247] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:1455:1] |
Generators of the group modulo torsion |
j |
-1627624771947/376421920 |
j-invariant |
L |
10.039983859635 |
L(r)(E,1)/r! |
Ω |
0.54945748895119 |
Real period |
R |
0.15227116536659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850l2 11970f1 |
Quadratic twists by: -3 5 |