Atkin-Lehner |
2- 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016l |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-51208192 = -1 · 213 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 5 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,-166] |
[a1,a2,a3,a4,a6] |
Generators |
[13:56:1] |
Generators of the group modulo torsion |
j |
16581375/12502 |
j-invariant |
L |
6.1313796720848 |
L(r)(E,1)/r! |
Ω |
1.1183434368169 |
Real period |
R |
1.3706388043387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12502e1 |
Quadratic twists by: -4 |