Atkin-Lehner |
2- 3+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130be |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
566400 |
Modular degree for the optimal curve |
Δ |
-4065164066193750 = -1 · 2 · 39 · 55 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28753,-2433779] |
[a1,a2,a3,a4,a6] |
Generators |
[5078:129217:8] |
Generators of the group modulo torsion |
j |
133566047018613/206531731250 |
j-invariant |
L |
11.717912891901 |
L(r)(E,1)/r! |
Ω |
0.23218066453433 |
Real period |
R |
5.0468943646115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130b1 |
Quadratic twists by: -3 |