Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150d |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-242201775375000 = -1 · 23 · 39 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18942,-1247284] |
[a1,a2,a3,a4,a6] |
Generators |
[369421:1019881:2197] |
Generators of the group modulo torsion |
j |
-2444008923/787528 |
j-invariant |
L |
5.6562353353215 |
L(r)(E,1)/r! |
Ω |
0.20018900559323 |
Real period |
R |
7.0636187237109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000181329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150cd1 5166x1 |
Quadratic twists by: -3 5 |