Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bx |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-11634840000000 = -1 · 29 · 37 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32067,2224341] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-162:1] |
Generators of the group modulo torsion |
j |
-320153881321/1021440 |
j-invariant |
L |
5.2291901897988 |
L(r)(E,1)/r! |
Ω |
0.71858265219228 |
Real period |
R |
0.90963617299647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950cs1 11970bq1 |
Quadratic twists by: -3 5 |