Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bp |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-1.3283813381314E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3659403,3214777610] |
[a1,a2,a3,a4,a6] |
Generators |
[-376695:51381440:729] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
10.1824672989 |
L(r)(E,1)/r! |
Ω |
0.14531908668262 |
Real period |
R |
8.7587146438047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bi1 40656m1 11088w1 |
Quadratic twists by: -4 -3 -11 |