Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850gj |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
25344000 |
Modular degree for the optimal curve |
Δ |
-7.6339406627017E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-496727555,4263334146947] |
[a1,a2,a3,a4,a6] |
Generators |
[61095:14180578:1] |
Generators of the group modulo torsion |
j |
-47598241178539673499145/26807802601531392 |
j-invariant |
L |
10.741629045471 |
L(r)(E,1)/r! |
Ω |
0.073238125492982 |
Real period |
R |
1.6666724551291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bk1 59850bb1 |
Quadratic twists by: -3 5 |