Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514f |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-11766782384 = -1 · 24 · 77 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-466,6308] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:102:1] |
Generators of the group modulo torsion |
j |
-95443993/100016 |
j-invariant |
L |
3.8269485157328 |
L(r)(E,1)/r! |
Ω |
1.1561590763134 |
Real period |
R |
0.82751340051451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12502b1 |
Quadratic twists by: -7 |