Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360eo |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
12925440 |
Modular degree for the optimal curve |
Δ |
-2.2352500129746E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 0 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3291640,-22861593488] |
[a1,a2,a3,a4,a6] |
j |
-401059427678785561/22728668688000000 |
j-invariant |
L |
1.5734183369597 |
L(r)(E,1)/r! |
Ω |
0.043706056049042 |
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 |
16170x1 129360gf1 |
Quadratic twists by: -4 -7 |