Atkin-Lehner |
11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
68651b |
Isogeny class |
Conductor |
68651 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-16688196908972171 = -1 · 11 · 798 |
Discriminant |
Eigenvalues |
-2 -1 1 2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,60330,2449650] |
[a1,a2,a3,a4,a6] |
j |
99897344/68651 |
j-invariant |
L |
0.49297886405283 |
L(r)(E,1)/r! |
Ω |
0.24648943395146 |
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 |
869b1 |
Quadratic twists by: -79 |