Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960g |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-98767470592000000 = -1 · 230 · 56 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,106239,-7175935] |
[a1,a2,a3,a4,a6] |
Generators |
[55214813:2411590500:29791] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
8.5759479232252 |
L(r)(E,1)/r! |
Ω |
0.1885601587259 |
Real period |
R |
11.370307467051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bc1 2030b1 |
Quadratic twists by: -4 8 |