Atkin-Lehner |
5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22475a |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512640 |
Modular degree for the optimal curve |
Δ |
-155235746826171875 = -1 · 512 · 295 · 31 |
Discriminant |
Eigenvalues |
0 1 5+ 5 1 -4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3727033,2768269344] |
[a1,a2,a3,a4,a6] |
Generators |
[382704:92016:343] |
Generators of the group modulo torsion |
j |
-366432104613080203264/9935087796875 |
j-invariant |
L |
6.0502511527 |
L(r)(E,1)/r! |
Ω |
0.30130605474449 |
Real period |
R |
5.0200212188157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4495a1 |
Quadratic twists by: 5 |