Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980d |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-568445040 = -1 · 24 · 39 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-513,4617] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-27:1] |
Generators of the group modulo torsion |
j |
-131328/5 |
j-invariant |
L |
5.7108113585459 |
L(r)(E,1)/r! |
Ω |
1.6254668484116 |
Real period |
R |
0.5855560168021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64980h1 64980b1 |
Quadratic twists by: -3 -19 |