Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dq |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2028567339162E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41328033,-87610415937] |
[a1,a2,a3,a4,a6] |
Generators |
[10403:780000:1] |
Generators of the group modulo torsion |
j |
1905890658841300321/293666194803750 |
j-invariant |
L |
7.8454106873106 |
L(r)(E,1)/r! |
Ω |
0.060160970853034 |
Real period |
R |
4.0752182253383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fl6 3450d5 22080d6 |
Quadratic twists by: -4 8 5 |