Atkin-Lehner |
3+ 5- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825i |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
2607531908203125 = 37 · 59 · 193 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 -4 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-111083,-13999807] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:446:1] |
Generators of the group modulo torsion |
j |
77614056636416/1335056337 |
j-invariant |
L |
4.7825609022411 |
L(r)(E,1)/r! |
Ω |
0.26178244184178 |
Real period |
R |
3.0448699910866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997785632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825ba1 |
Quadratic twists by: 5 |