Atkin-Lehner |
2- 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
43736b |
Isogeny class |
Conductor |
43736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-1093050112 = -1 · 28 · 7 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ 4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,188,-1308] |
[a1,a2,a3,a4,a6] |
Generators |
[168:2178:1] |
Generators of the group modulo torsion |
j |
2855256752/4269727 |
j-invariant |
L |
10.171972294167 |
L(r)(E,1)/r! |
Ω |
0.82070722791737 |
Real period |
R |
3.0985386591463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87472b1 |
Quadratic twists by: -4 |