Atkin-Lehner |
2- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248n |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
13882982360154112 = 227 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 1 0 1 -6 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66433,3339391] |
[a1,a2,a3,a4,a6] |
j |
123692088390625/52959374848 |
j-invariant |
L |
1.4316579978306 |
L(r)(E,1)/r! |
Ω |
0.35791449523639 |
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 |
77248g1 19312d1 |
Quadratic twists by: -4 8 |