Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574bf |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
2205248713401888 = 25 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66190,-6158176] |
[a1,a2,a3,a4,a6] |
j |
3053190217/209952 |
j-invariant |
L |
2.3914847468574 |
L(r)(E,1)/r! |
Ω |
0.29893559335931 |
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 |
106722hg1 35574e1 35574dc1 |
Quadratic twists by: -3 -7 -11 |