Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320s |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
189687398400 = 222 · 33 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1985,-26175] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:48:1] |
Generators of the group modulo torsion |
j |
3301293169/723600 |
j-invariant |
L |
4.3659098071775 |
L(r)(E,1)/r! |
Ω |
0.72638529031853 |
Real period |
R |
3.0052300515929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cp1 2010i1 |
Quadratic twists by: -4 8 |