Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850gf |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
896000 |
Modular degree for the optimal curve |
Δ |
-523785953250000000 = -1 · 27 · 38 · 59 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37805,-34925803] |
[a1,a2,a3,a4,a6] |
Generators |
[369:940:1] |
Generators of the group modulo torsion |
j |
-4196653397/367871616 |
j-invariant |
L |
8.3366755558288 |
L(r)(E,1)/r! |
Ω |
0.12950876612565 |
Real period |
R |
2.2989826990788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bg1 59850dl1 |
Quadratic twists by: -3 5 |