Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
61800p |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-53395200 = -1 · 28 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,128] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] [2:18:1] |
Generators of the group modulo torsion |
j |
13310000/8343 |
j-invariant |
L |
11.539570719764 |
L(r)(E,1)/r! |
Ω |
1.236062660344 |
Real period |
R |
0.58348431121252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600a1 61800a1 |
Quadratic twists by: -4 5 |