Atkin-Lehner |
3- 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575u |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
433152 |
Modular degree for the optimal curve |
Δ |
-498138449025375 = -1 · 315 · 53 · 172 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10548,986931] |
[a1,a2,a3,a4,a6] |
j |
1424207846251/5466539907 |
j-invariant |
L |
2.9809626531789 |
L(r)(E,1)/r! |
Ω |
0.3726202673554 |
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 |
39525h1 118575r1 |
Quadratic twists by: -3 5 |