Atkin-Lehner |
2- 3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578bl |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-918376704 = -1 · 28 · 36 · 7 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,184,-1141] |
[a1,a2,a3,a4,a6] |
Generators |
[21:97:1] |
Generators of the group modulo torsion |
j |
949862087/1259776 |
j-invariant |
L |
13.243904283222 |
L(r)(E,1)/r! |
Ω |
0.8387090833743 |
Real period |
R |
0.98692625816686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842c1 |
Quadratic twists by: -3 |