Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550bb |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1545600 |
Modular degree for the optimal curve |
Δ |
-4162186322000000000 = -1 · 210 · 59 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -2 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3268325,-2277717875] |
[a1,a2,a3,a4,a6] |
Generators |
[15210:1854395:1] |
Generators of the group modulo torsion |
j |
-342914041253/369664 |
j-invariant |
L |
1.9971688371889 |
L(r)(E,1)/r! |
Ω |
0.056138416914248 |
Real period |
R |
1.4823248105258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cq1 46550be1 |
Quadratic twists by: 5 -7 |