Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825q |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-187742297390625 = -1 · 39 · 56 · 193 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 5 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13337,289442] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:344:1] |
Generators of the group modulo torsion |
j |
16790982323543/12015507033 |
j-invariant |
L |
6.5525554323462 |
L(r)(E,1)/r! |
Ω |
0.36048384191566 |
Real period |
R |
1.0098395912173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073c1 |
Quadratic twists by: 5 |