Atkin-Lehner |
3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925b |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
889118015625 = 39 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2405,1972] |
[a1,a2,a3,a4,a6] |
j |
5000211/2891 |
j-invariant |
L |
1.5038089292913 |
L(r)(E,1)/r! |
Ω |
0.75190448548712 |
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 |
92925d1 3717a1 |
Quadratic twists by: -3 5 |