Atkin-Lehner |
2- 3+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18444b |
Isogeny class |
Conductor |
18444 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
553392 |
Modular degree for the optimal curve |
Δ |
-1.9802900728732E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -4 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1834069,1172103889] |
[a1,a2,a3,a4,a6] |
Generators |
[1815:61798:1] |
Generators of the group modulo torsion |
j |
-2665207303241929326592/773550809716084011 |
j-invariant |
L |
3.710806683746 |
L(r)(E,1)/r! |
Ω |
0.16943578258996 |
Real period |
R |
1.0429029658158 |
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 |
73776r1 55332d1 |
Quadratic twists by: -4 -3 |