Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600bc |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-2800046200000000000 = -1 · 212 · 511 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,173467,75495437] |
[a1,a2,a3,a4,a6] |
j |
9019694698496/43750721875 |
j-invariant |
L |
2.5630640313576 |
L(r)(E,1)/r! |
Ω |
0.18307600225149 |
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 |
2975b1 9520f1 |
Quadratic twists by: -4 5 |