Atkin-Lehner |
2- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92708a |
Isogeny class |
Conductor |
92708 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-698048223488 = -1 · 28 · 78 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2140,-13544] |
[a1,a2,a3,a4,a6] |
Generators |
[250:2303:8] |
Generators of the group modulo torsion |
j |
35969456/23177 |
j-invariant |
L |
3.7356460268913 |
L(r)(E,1)/r! |
Ω |
0.51784931768788 |
Real period |
R |
3.6068851596889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999706728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244c1 |
Quadratic twists by: -7 |