Atkin-Lehner |
3- 5- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126825z |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
241200 |
Modular degree for the optimal curve |
Δ |
-3049744921875 = -1 · 35 · 58 · 192 · 89 |
Discriminant |
Eigenvalues |
2 3- 5- 0 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2792,62869] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1421:8] |
Generators of the group modulo torsion |
j |
6159626240/7807347 |
j-invariant |
L |
16.994319062248 |
L(r)(E,1)/r! |
Ω |
0.53730800232061 |
Real period |
R |
1.0542878536097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126825a1 |
Quadratic twists by: 5 |