Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ez |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-726152343750000 = -1 · 24 · 37 · 513 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276825,56075375] |
[a1,a2,a3,a4,a6] |
Generators |
[310:225:1] |
Generators of the group modulo torsion |
j |
-12872772702976/3984375 |
j-invariant |
L |
6.2455879443194 |
L(r)(E,1)/r! |
Ω |
0.49649826663365 |
Real period |
R |
1.5724093023126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300q1 20400cj1 12240bu1 |
Quadratic twists by: -4 -3 5 |