Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664f |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
1.6609243611224E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5232519,4602784230] |
[a1,a2,a3,a4,a6] |
j |
3144306665349751536/3296238269387 |
j-invariant |
L |
1.3124323879619 |
L(r)(E,1)/r! |
Ω |
0.21873874449877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832c1 83664c1 |
Quadratic twists by: -4 -3 |