Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cy |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-87264000000000 = -1 · 214 · 33 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2992,-444012] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2400:1] |
Generators of the group modulo torsion |
j |
46268279/1363500 |
j-invariant |
L |
9.5775935943211 |
L(r)(E,1)/r! |
Ω |
0.29209065681318 |
Real period |
R |
1.3662415737696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150t1 24240z1 |
Quadratic twists by: -4 5 |