Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fp |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23113728 |
Modular degree for the optimal curve |
Δ |
1.5948025985039E+25 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63185232,21330355772] |
[a1,a2,a3,a4,a6] |
Generators |
[-9400582:5209631406:24389] |
Generators of the group modulo torsion |
j |
697367157735424/398655683181 |
j-invariant |
L |
9.0784814987626 |
L(r)(E,1)/r! |
Ω |
0.059728967471485 |
Real period |
R |
12.666217998549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30492q1 40656bs1 121968dy1 |
Quadratic twists by: -4 -3 -11 |