Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400j |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-89687500000000 = -1 · 28 · 513 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21033,-1266437] |
[a1,a2,a3,a4,a6] |
Generators |
[363:-6250:1] |
Generators of the group modulo torsion |
j |
-257269341184/22421875 |
j-invariant |
L |
2.5655744154019 |
L(r)(E,1)/r! |
Ω |
0.19723652440044 |
Real period |
R |
0.81297519032286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800k1 11480e1 |
Quadratic twists by: -4 5 |