Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616s |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2887531050096 = -1 · 24 · 33 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- -5 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4767,150773] |
[a1,a2,a3,a4,a6] |
Generators |
[4:363:1] |
Generators of the group modulo torsion |
j |
-80850237696/19487171 |
j-invariant |
L |
7.2463923999922 |
L(r)(E,1)/r! |
Ω |
0.76636756643562 |
Real period |
R |
0.33769660912676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808d1 77616j1 77616v1 |
Quadratic twists by: -4 -3 -7 |