Atkin-Lehner |
2+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774g |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24634368 |
Modular degree for the optimal curve |
Δ |
-4.0353781857724E+24 |
Discriminant |
Eigenvalues |
2+ -1 -4 5 11- 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,35906748,-49812015920] |
[a1,a2,a3,a4,a6] |
Generators |
[1314744295111923801:4166609385488578205473:130864391533] |
Generators of the group modulo torsion |
j |
197389961758721039/155581297983488 |
j-invariant |
L |
2.8861598566587 |
L(r)(E,1)/r! |
Ω |
0.043482014837663 |
Real period |
R |
33.187972859974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774n1 |
Quadratic twists by: -11 |