Atkin-Lehner |
2- 3+ 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850by |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-133596554618880000 = -1 · 214 · 35 · 54 · 19 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,119637,-7404519] |
[a1,a2,a3,a4,a6] |
Generators |
[81:1640:1] |
Generators of the group modulo torsion |
j |
302998173450298175/213754487390208 |
j-invariant |
L |
8.1302795030073 |
L(r)(E,1)/r! |
Ω |
0.18518959707802 |
Real period |
R |
1.5679451207186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850v1 |
Quadratic twists by: 5 |