Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
93492q |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-32330375016033024 = -1 · 28 · 310 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -1 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65856,-10823708] |
[a1,a2,a3,a4,a6] |
j |
-4194304/4293 |
j-invariant |
L |
3.4353558849614 |
L(r)(E,1)/r! |
Ω |
0.14313983075566 |
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 |
31164q1 93492r1 |
Quadratic twists by: -3 -7 |