Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200y |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1254791250000 = 24 · 310 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7050,221375] |
[a1,a2,a3,a4,a6] |
j |
212629504/6885 |
j-invariant |
L |
1.7138156120974 |
L(r)(E,1)/r! |
Ω |
0.85690780563514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600m1 20400d1 12240t1 |
Quadratic twists by: -4 -3 5 |