Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304id |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-341920891084910592 = -1 · 212 · 3 · 78 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1003977,-388554153] |
[a1,a2,a3,a4,a6] |
Generators |
[6940444719:483986920508:1367631] |
Generators of the group modulo torsion |
j |
-232245467895232/709540923 |
j-invariant |
L |
10.857450318457 |
L(r)(E,1)/r! |
Ω |
0.075397878458945 |
Real period |
R |
12.000172161384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gb2 61152bf1 17472ce2 |
Quadratic twists by: -4 8 -7 |