Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400dy |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14929920000000000 = -1 · 221 · 36 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1807500,-935350000] |
[a1,a2,a3,a4,a6] |
Generators |
[4587160127410:-570703173145792:294079625] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
5.2352401266023 |
L(r)(E,1)/r! |
Ω |
0.065102757925172 |
Real period |
R |
20.103757096664 |
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 |
14400bh4 3600bi4 1600q4 14400ew2 |
Quadratic twists by: -4 8 -3 5 |