Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200by |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-4936826880000000 = -1 · 223 · 35 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38992,-1639488] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1450:1] |
Generators of the group modulo torsion |
j |
102437538839/77137920 |
j-invariant |
L |
5.3441603018543 |
L(r)(E,1)/r! |
Ω |
0.24171247915169 |
Real period |
R |
2.7636969347897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4650bj1 111600fg1 7440bb1 |
Quadratic twists by: -4 -3 5 |