Atkin-Lehner |
2- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
77452c |
Isogeny class |
Conductor |
77452 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-7038128919296 = -1 · 28 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 1 -2 0 -5 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,771,127631] |
[a1,a2,a3,a4,a6] |
Generators |
[5142:72539:27] |
Generators of the group modulo torsion |
j |
8192/1139 |
j-invariant |
L |
5.4987071612486 |
L(r)(E,1)/r! |
Ω |
0.57436942869498 |
Real period |
R |
4.7867338401971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4556a1 |
Quadratic twists by: 17 |