Atkin-Lehner |
2+ 3- 13- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
102258k |
Isogeny class |
Conductor |
102258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-225709715828293632 = -1 · 214 · 315 · 133 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16362,22876020] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-4752:1] |
Generators of the group modulo torsion |
j |
-664538702334625/309615522398208 |
j-invariant |
L |
5.0660125367294 |
L(r)(E,1)/r! |
Ω |
0.25489653186885 |
Real period |
R |
0.82811583916023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34086j1 |
Quadratic twists by: -3 |