Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950dl |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
3669120 |
Modular degree for the optimal curve |
Δ |
-6640464860862367500 = -1 · 22 · 313 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-730126,270185948] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:22709:1] |
Generators of the group modulo torsion |
j |
-11946810138025/1843037388 |
j-invariant |
L |
6.6386982303507 |
L(r)(E,1)/r! |
Ω |
0.2289238553918 |
Real period |
R |
0.18589481543866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ep1 124950cg1 |
Quadratic twists by: 5 -7 |