Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840dg |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-20543569920 = -1 · 217 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -2 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,6896] |
[a1,a2,a3,a4,a6] |
j |
-2/215 |
j-invariant |
L |
3.8698273315306 |
L(r)(E,1)/r! |
Ω |
0.96745688607411 |
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 |
123840ga1 15480c1 13760d1 |
Quadratic twists by: -4 8 -3 |