Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206o |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-408208312737792 = -1 · 213 · 36 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10887,1068605] |
[a1,a2,a3,a4,a6] |
j |
-1664006625/4759552 |
j-invariant |
L |
1.874836938271 |
L(r)(E,1)/r! |
Ω |
0.4687092367515 |
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 |
8134e1 10458c1 |
Quadratic twists by: -3 -7 |