Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bh |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-872460288 = -1 · 212 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 5 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,1328] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:28:1] |
Generators of the group modulo torsion |
j |
1728000/7889 |
j-invariant |
L |
6.84097437739 |
L(r)(E,1)/r! |
Ω |
1.1320677772252 |
Real period |
R |
0.50357514769512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368d1 92736l1 46368g1 |
Quadratic twists by: -4 8 -3 |