Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960be |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1114064000000 = 210 · 56 · 74 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604101,-180924101] |
[a1,a2,a3,a4,a6] |
Generators |
[11154517:-73645700:12167] |
Generators of the group modulo torsion |
j |
23809656960517881856/1087953125 |
j-invariant |
L |
4.3830167342888 |
L(r)(E,1)/r! |
Ω |
0.17124665903202 |
Real period |
R |
12.797378818583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960h1 16240r1 |
Quadratic twists by: -4 8 |