Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763z |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-17878694159466189 = -1 · 37 · 74 · 237 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 2 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363434,-84606159] |
[a1,a2,a3,a4,a6] |
Generators |
[715:4246:1] |
Generators of the group modulo torsion |
j |
-14936239633/50301 |
j-invariant |
L |
6.9209852128777 |
L(r)(E,1)/r! |
Ω |
0.097202088412056 |
Real period |
R |
5.0858586979427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763n1 3381l1 |
Quadratic twists by: -7 -23 |