Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624d |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-18167954618112 = -1 · 28 · 3 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 3 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,-204972] |
[a1,a2,a3,a4,a6] |
Generators |
[2141:99034:1] |
Generators of the group modulo torsion |
j |
-208/87 |
j-invariant |
L |
7.9206946265541 |
L(r)(E,1)/r! |
Ω |
0.30943148633533 |
Real period |
R |
4.2662619272193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624bh1 |
Quadratic twists by: 13 |