Atkin-Lehner |
2- 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040bt |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-281298778836480 = -1 · 29 · 313 · 5 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23547,1607906] |
[a1,a2,a3,a4,a6] |
j |
-3868414248392/753651135 |
j-invariant |
L |
1.0529221128651 |
L(r)(E,1)/r! |
Ω |
0.52646105725187 |
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 |
59040bs1 118080em1 19680c1 |
Quadratic twists by: -4 8 -3 |