Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600fl |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6210454518000000000 = -1 · 210 · 37 · 59 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,210367,-114073863] |
[a1,a2,a3,a4,a6] |
j |
64347918907136/388153407375 |
j-invariant |
L |
0.47723176952326 |
L(r)(E,1)/r! |
Ω |
0.11930793115714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600cs1 20400u1 16320da1 |
Quadratic twists by: -4 8 5 |