Atkin-Lehner |
2- 3+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290i |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
820332202500 = 22 · 32 · 54 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 0 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13306,583619] |
[a1,a2,a3,a4,a6] |
j |
260536340891076769/820332202500 |
j-invariant |
L |
3.5850568774745 |
L(r)(E,1)/r! |
Ω |
0.89626421936895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870s1 |
Quadratic twists by: -3 |