Atkin-Lehner |
5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19855c |
Isogeny class |
Conductor |
19855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
2218477922230625 = 54 · 11 · 199 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-354649717,2570765825484] |
[a1,a2,a3,a4,a6] |
Generators |
[581322466:5281749323:50653] |
Generators of the group modulo torsion |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
2.5902571639472 |
L(r)(E,1)/r! |
Ω |
0.19566397520679 |
Real period |
R |
13.238293667547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99275a1 1045b1 |
Quadratic twists by: 5 -19 |