Atkin-Lehner |
2- 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850cf |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-4081392461250 = -1 · 2 · 35 · 54 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12688,553331] |
[a1,a2,a3,a4,a6] |
j |
-361430953947025/6530227938 |
j-invariant |
L |
1.5640173993083 |
L(r)(E,1)/r! |
Ω |
0.78200869031752 |
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 |
83850m1 |
Quadratic twists by: 5 |