Atkin-Lehner |
3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52275i |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
1041416015625 = 32 · 510 · 172 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55751,5061773] |
[a1,a2,a3,a4,a6] |
j |
1226451766669921/66650625 |
j-invariant |
L |
3.3087193228479 |
L(r)(E,1)/r! |
Ω |
0.82717983088487 |
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 |
10455b1 |
Quadratic twists by: 5 |