Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ib |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2974320000000 = -1 · 210 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2967,-53937] |
[a1,a2,a3,a4,a6] |
Generators |
[18:75:1] |
Generators of the group modulo torsion |
j |
180472064/185895 |
j-invariant |
L |
9.6839967796992 |
L(r)(E,1)/r! |
Ω |
0.43521446614981 |
Real period |
R |
1.5893636573466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600l1 20400bx1 16320bv1 |
Quadratic twists by: -4 8 5 |