Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bz |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-103145496640479216 = -1 · 24 · 39 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61347,-16521703] |
[a1,a2,a3,a4,a6] |
j |
-1235663104/4991679 |
j-invariant |
L |
2.7668785563059 |
L(r)(E,1)/r! |
Ω |
0.13834396383362 |
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 |
60984u1 40656s1 11088k1 |
Quadratic twists by: -4 -3 -11 |