Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742l |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-221047478420855328 = -1 · 25 · 36 · 112 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161973,33822549] |
[a1,a2,a3,a4,a6] |
Generators |
[77835:4101664:27] |
Generators of the group modulo torsion |
j |
-8231953/3872 |
j-invariant |
L |
5.2950528495181 |
L(r)(E,1)/r! |
Ω |
0.29403293570717 |
Real period |
R |
9.0041832012575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638u1 104742x1 |
Quadratic twists by: -3 -23 |