Atkin-Lehner |
2+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610g |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
26805148160000 = 212 · 54 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55738,5035668] |
[a1,a2,a3,a4,a6] |
j |
162780279643801/227840000 |
j-invariant |
L |
1.3331532002632 |
L(r)(E,1)/r! |
Ω |
0.6665766002279 |
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 |
890e1 |
Quadratic twists by: -7 |