Atkin-Lehner |
2+ 3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254r |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-275906383058376 = -1 · 23 · 313 · 7 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38484,3023352] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:2154:1] |
Generators of the group modulo torsion |
j |
-8646555821053249/378472404744 |
j-invariant |
L |
5.17497693725 |
L(r)(E,1)/r! |
Ω |
0.5448057716347 |
Real period |
R |
0.59367223179501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26418s1 |
Quadratic twists by: -3 |