Atkin-Lehner |
2+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350t |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1605120 |
Modular degree for the optimal curve |
Δ |
-705879338891562500 = -1 · 22 · 57 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 6 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,103599,38339448] |
[a1,a2,a3,a4,a6] |
j |
24389/140 |
j-invariant |
L |
3.3049835669249 |
L(r)(E,1)/r! |
Ω |
0.20656147936356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270m1 126350cs1 |
Quadratic twists by: 5 -19 |