Atkin-Lehner |
11+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87373b |
Isogeny class |
Conductor |
87373 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-31349426551513499 = -1 · 113 · 136 · 474 |
Discriminant |
Eigenvalues |
-2 -1 3 2 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8844,-8521758] |
[a1,a2,a3,a4,a6] |
Generators |
[124390:2053094:343] |
Generators of the group modulo torsion |
j |
-15851081728/6494855411 |
j-invariant |
L |
2.4612921314873 |
L(r)(E,1)/r! |
Ω |
0.16624736526119 |
Real period |
R |
3.7012498349142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
517c1 |
Quadratic twists by: 13 |