Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
43450t |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-26816796875000 = -1 · 23 · 511 · 11 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11- -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37688,2823992] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2064:1] |
Generators of the group modulo torsion |
j |
-378890468381881/1716275000 |
j-invariant |
L |
11.783424991395 |
L(r)(E,1)/r! |
Ω |
0.67103617791856 |
Real period |
R |
1.4633370225464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8690c1 |
Quadratic twists by: 5 |