Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616t |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2852924248944 = -1 · 24 · 39 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1323,83349] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3969:1] |
Generators of the group modulo torsion |
j |
-6912/77 |
j-invariant |
L |
5.5585494777797 |
L(r)(E,1)/r! |
Ω |
0.6847124296471 |
Real period |
R |
2.0295197067877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808bm1 77616f1 11088d1 |
Quadratic twists by: -4 -3 -7 |