Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980l |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-14857220948266800 = -1 · 24 · 37 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82308,-10816643] |
[a1,a2,a3,a4,a6] |
Generators |
[9471:921280:1] |
Generators of the group modulo torsion |
j |
-311296/75 |
j-invariant |
L |
4.6586081017258 |
L(r)(E,1)/r! |
Ω |
0.13916021248156 |
Real period |
R |
8.3691452080937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660z1 64980t1 |
Quadratic twists by: -3 -19 |