Atkin-Lehner |
2+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610m |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
41189862868582400 = 216 · 52 · 710 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197234,32319188] |
[a1,a2,a3,a4,a6] |
j |
7212437423428329/350108057600 |
j-invariant |
L |
0.71574816686764 |
L(r)(E,1)/r! |
Ω |
0.35787408345043 |
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 |
6230a1 |
Quadratic twists by: -7 |