Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gk |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1618030080000 = -1 · 212 · 37 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,41200] |
[a1,a2,a3,a4,a6] |
j |
819200/867 |
j-invariant |
L |
2.2343312335228 |
L(r)(E,1)/r! |
Ω |
0.55858280846038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3825k1 20400dv1 61200fm1 |
Quadratic twists by: -4 -3 5 |