Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cl |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
71741671449985152 = 27 · 32 · 74 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2167173,-1228085055] |
[a1,a2,a3,a4,a6] |
j |
18075297625/1152 |
j-invariant |
L |
5.2260927068149 |
L(r)(E,1)/r! |
Ω |
0.12443077873396 |
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 |
106722bs1 35574ca1 35574t1 |
Quadratic twists by: -3 -7 -11 |