Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bw |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1143072 |
Modular degree for the optimal curve |
Δ |
-23375735332798464 = -1 · 221 · 33 · 76 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45716,6340109] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:1449:1] |
Generators of the group modulo torsion |
j |
89813071796687/198690471936 |
j-invariant |
L |
11.427449495605 |
L(r)(E,1)/r! |
Ω |
0.26373485263996 |
Real period |
R |
1.0316502650078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914n1 |
Quadratic twists by: -7 |