Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525bh |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-83204296875 = -1 · 33 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -3 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6325,191500] |
[a1,a2,a3,a4,a6] |
j |
-208909615/621 |
j-invariant |
L |
2.1685444241449 |
L(r)(E,1)/r! |
Ω |
1.0842721785842 |
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 |
84525bz1 84525df1 |
Quadratic twists by: 5 -7 |