Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350cs |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-15004062500 = -1 · 22 · 57 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,287,-5469] |
[a1,a2,a3,a4,a6] |
Generators |
[15:42:1] |
Generators of the group modulo torsion |
j |
24389/140 |
j-invariant |
L |
10.418571405337 |
L(r)(E,1)/r! |
Ω |
0.62429201408572 |
Real period |
R |
1.0430386632166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270a1 126350t1 |
Quadratic twists by: 5 -19 |