Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658b |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4854528 |
Modular degree for the optimal curve |
Δ |
-2.6186490756727E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10685409,-13672229067] |
[a1,a2,a3,a4,a6] |
Generators |
[6368698833:454620918066:912673] |
Generators of the group modulo torsion |
j |
-11543820929593/224042112 |
j-invariant |
L |
4.8199158298819 |
L(r)(E,1)/r! |
Ω |
0.041703464994303 |
Real period |
R |
9.6313256595112 |
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 |
77658bo1 |
Quadratic twists by: -43 |