Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848u |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-636505289151279408 = -1 · 24 · 35 · 78 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107441,-35875918] |
[a1,a2,a3,a4,a6] |
j |
72865436813312/338137855587 |
j-invariant |
L |
2.9086042948801 |
L(r)(E,1)/r! |
Ω |
0.14543021399991 |
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 |
12264f1 |
Quadratic twists by: -7 |