Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400z |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-282525670000 = -1 · 24 · 54 · 75 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 3 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5675,-166525] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-1435:1] |
Generators of the group modulo torsion |
j |
-2021255942400/28252567 |
j-invariant |
L |
6.7037452955876 |
L(r)(E,1)/r! |
Ω |
0.27480020095154 |
Real period |
R |
0.40658299329163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800t1 57400c1 |
Quadratic twists by: -4 5 |