Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bo |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-6849871121714544 = -1 · 24 · 39 · 711 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24843,-4257659] |
[a1,a2,a3,a4,a6] |
Generators |
[260:2619:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
5.5693855470639 |
L(r)(E,1)/r! |
Ω |
0.17342333655009 |
Real period |
R |
4.0142993850676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808cj1 25872t1 11088k1 |
Quadratic twists by: -4 -3 -7 |