Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cl |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-38592000000000 = -1 · 215 · 32 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -1 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6792,204912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-750:1] |
Generators of the group modulo torsion |
j |
4330747/4824 |
j-invariant |
L |
3.9376038065457 |
L(r)(E,1)/r! |
Ω |
0.43063797989172 |
Real period |
R |
1.1429564946179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050r1 80400dt1 |
Quadratic twists by: -4 5 |