Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968el |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-2.1672408565215E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7817469,20758099714] |
[a1,a2,a3,a4,a6] |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
1.1392990871209 |
L(r)(E,1)/r! |
Ω |
0.071206225952956 |
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 |
15246t1 40656cn1 121968fy1 |
Quadratic twists by: -4 -3 -11 |