Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008cf |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-87048192 = -1 · 214 · 3 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1172] |
[a1,a2,a3,a4,a6] |
j |
-244140625/21252 |
j-invariant |
L |
3.7455857124358 |
L(r)(E,1)/r! |
Ω |
1.8727928420393 |
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 |
10626m1 |
Quadratic twists by: -4 |