Atkin-Lehner |
5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
31775a |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-855454990234375 = -1 · 510 · 31 · 414 |
Discriminant |
Eigenvalues |
1 0 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3917,-1409384] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2398:1] [2748:142618:1] |
Generators of the group modulo torsion |
j |
-425428681761/54749119375 |
j-invariant |
L |
9.6873895447742 |
L(r)(E,1)/r! |
Ω |
0.22208181373034 |
Real period |
R |
10.905203562209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355d1 |
Quadratic twists by: 5 |