Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320m |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-24120000 = -1 · 26 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255,-1503] |
[a1,a2,a3,a4,a6] |
Generators |
[24:75:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
6.3735142407242 |
L(r)(E,1)/r! |
Ω |
0.59669730242581 |
Real period |
R |
1.3351648764825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64320bm1 32160t1 |
Quadratic twists by: -4 8 |