Atkin-Lehner |
2- 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776r |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2213568 |
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] |
j |
-2665207303241929326592/773550809716084011 |
j-invariant |
L |
2.6841113794944 |
L(r)(E,1)/r! |
Ω |
0.063907413548096 |
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 |
18444b1 |
Quadratic twists by: -4 |