Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742bq |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-136068027876 = -1 · 22 · 312 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11+ -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3722,-88243] |
[a1,a2,a3,a4,a6] |
j |
-14782919881/352836 |
j-invariant |
L |
2.4415280650986 |
L(r)(E,1)/r! |
Ω |
0.30519107718911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914q1 104742cf1 |
Quadratic twists by: -3 -23 |