Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616eo |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-414107660582719488 = -1 · 212 · 313 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,140973,-23313710] |
[a1,a2,a3,a4,a6] |
Generators |
[1103:38394:1] |
Generators of the group modulo torsion |
j |
17999471/24057 |
j-invariant |
L |
4.4252083656279 |
L(r)(E,1)/r! |
Ω |
0.15930458047662 |
Real period |
R |
3.4722858809623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4851g1 25872ci1 77616fs1 |
Quadratic twists by: -4 -3 -7 |