Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319s |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
9077728354101 = 38 · 117 · 71 |
Discriminant |
Eigenvalues |
-2 3- 3 3 11- 1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13431,581314] |
[a1,a2,a3,a4,a6] |
Generators |
[22:544:1] |
Generators of the group modulo torsion |
j |
207474688/7029 |
j-invariant |
L |
5.1185942129145 |
L(r)(E,1)/r! |
Ω |
0.72616701545899 |
Real period |
R |
0.44054898025759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773i1 7029g1 |
Quadratic twists by: -3 -11 |