Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360id |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-245453235793920 = -1 · 212 · 33 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-754237] |
[a1,a2,a3,a4,a6] |
j |
-262144/509355 |
j-invariant |
L |
3.0154326858684 |
L(r)(E,1)/r! |
Ω |
0.25128605703101 |
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 |
8085k1 18480bq1 |
Quadratic twists by: -4 -7 |