Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bl |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-9331200 = -1 · 29 · 36 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-290] |
[a1,a2,a3,a4,a6] |
Generators |
[21:86:1] |
Generators of the group modulo torsion |
j |
-5000 |
j-invariant |
L |
4.1263257471719 |
L(r)(E,1)/r! |
Ω |
0.80250860419915 |
Real period |
R |
2.5708919041994 |
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 |
7200k1 14400bj1 800b1 7200u1 |
Quadratic twists by: -4 8 -3 5 |