Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616ej |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-506131585156657152 = -1 · 212 · 311 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,82320,32999344] |
[a1,a2,a3,a4,a6] |
Generators |
[1618:60885:8] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
4.6888573074697 |
L(r)(E,1)/r! |
Ω |
0.21476323525247 |
Real period |
R |
5.4581703655186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851i1 25872ch1 77616fb1 |
Quadratic twists by: -4 -3 -7 |