Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dt |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-628968436615267056 = -1 · 24 · 39 · 7 · 1111 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14883,-38150453] |
[a1,a2,a3,a4,a6] |
j |
17643776/30438639 |
j-invariant |
L |
2.1463378982421 |
L(r)(E,1)/r! |
Ω |
0.1341460859471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492bc1 40656cj1 11088bw1 |
Quadratic twists by: -4 -3 -11 |