Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fv |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9396595420708E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78739419,268928121418] |
[a1,a2,a3,a4,a6] |
Generators |
[247224217:-32324494230:12167] |
Generators of the group modulo torsion |
j |
10206027697760497/5557167 |
j-invariant |
L |
8.2987754630839 |
L(r)(E,1)/r! |
Ω |
0.17206242138666 |
Real period |
R |
12.057797706563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7623i5 40656dk6 11088bh5 |
Quadratic twists by: -4 -3 -11 |