Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605ba |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
12274558409225 = 52 · 79 · 233 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6175,77860] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:539:1] [220:2960:1] |
Generators of the group modulo torsion |
j |
18191447/8575 |
j-invariant |
L |
11.476843758259 |
L(r)(E,1)/r! |
Ω |
0.63614253500181 |
Real period |
R |
4.5103271390953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18515h1 129605i1 |
Quadratic twists by: -7 -23 |