Atkin-Lehner |
3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59823h |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-2.9418812897161E+25 |
Discriminant |
Eigenvalues |
-1 3- 0 2 -3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39377785,242998878084] |
[a1,a2,a3,a4,a6] |
j |
383757181824152375/1671876092836413 |
j-invariant |
L |
0.37921040150468 |
L(r)(E,1)/r! |
Ω |
0.047401299994534 |
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 |
19941d1 3519e1 |
Quadratic twists by: -3 17 |