Atkin-Lehner |
5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36425f |
Isogeny class |
Conductor |
36425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
678210734375 = 56 · 314 · 47 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6767,212266] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:4873:8] |
Generators of the group modulo torsion |
j |
2193452910657/43405487 |
j-invariant |
L |
6.6341557918263 |
L(r)(E,1)/r! |
Ω |
0.90716452317759 |
Real period |
R |
3.6565339705895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1457a3 |
Quadratic twists by: 5 |