Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
510a |
Isogeny class |
Conductor |
510 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-828431400960 = -1 · 218 · 37 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2673,67797] |
[a1,a2,a3,a4,a6] |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
0.83778896027743 |
L(r)(E,1)/r! |
Ω |
0.83778896027743 |
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 |
4080ba1 16320bl1 1530o1 2550ba1 |
Quadratic twists by: -4 8 -3 5 |