Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cs |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3293184000000 = 220 · 3 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3808,22388] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1650:1] |
Generators of the group modulo torsion |
j |
95443993/51456 |
j-invariant |
L |
7.9019124200663 |
L(r)(E,1)/r! |
Ω |
0.69445950698667 |
Real period |
R |
2.8446267703385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050v1 3216f1 |
Quadratic twists by: -4 5 |