Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cf |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-10115595594390 = -1 · 2 · 3 · 5 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-305,-153163] |
[a1,a2,a3,a4,a6] |
Generators |
[195134751321828340:-1963709593959824341:1832509244022848] |
Generators of the group modulo torsion |
j |
-121/390 |
j-invariant |
L |
9.3273184056713 |
L(r)(E,1)/r! |
Ω |
0.32844778450426 |
Real period |
R |
28.398177262025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190p1 |
Quadratic twists by: -11 |