Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400b |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40625000000000 = 29 · 514 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8675,-51750] |
[a1,a2,a3,a4,a6] |
Generators |
[-978:12518:27] |
Generators of the group modulo torsion |
j |
9024895368/5078125 |
j-invariant |
L |
3.6465718407804 |
L(r)(E,1)/r! |
Ω |
0.5323945114017 |
Real period |
R |
6.8493791026876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10400a3 20800cx3 93600dq3 2080e2 |
Quadratic twists by: -4 8 -3 5 |