Atkin-Lehner |
2+ 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494z |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-216437324568696 = -1 · 23 · 37 · 76 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3192561,2196417141] |
[a1,a2,a3,a4,a6] |
Generators |
[831:10389:1] |
Generators of the group modulo torsion |
j |
-4936440110392193968657/296896192824 |
j-invariant |
L |
3.3761380104925 |
L(r)(E,1)/r! |
Ω |
0.42304430190329 |
Real period |
R |
1.9951444815331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791094 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36498bj2 |
Quadratic twists by: -3 |