Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bn |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-14611222956093750 = -1 · 2 · 315 · 57 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30042,6158866] |
[a1,a2,a3,a4,a6] |
Generators |
[449:8888:1] |
Generators of the group modulo torsion |
j |
-263251475929/1282741110 |
j-invariant |
L |
3.1017938387583 |
L(r)(E,1)/r! |
Ω |
0.3427406221282 |
Real period |
R |
1.1312467936533 |
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 |
19950bt1 11970cj1 |
Quadratic twists by: -3 5 |