Atkin-Lehner |
5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
64715g |
Isogeny class |
Conductor |
64715 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-1632177298128125 = -1 · 55 · 710 · 432 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78105,-8656148] |
[a1,a2,a3,a4,a6] |
Generators |
[18129:-429253:27] |
Generators of the group modulo torsion |
j |
-28498608725272729/882735153125 |
j-invariant |
L |
3.0322353466376 |
L(r)(E,1)/r! |
Ω |
0.14253058499769 |
Real period |
R |
2.1274278405951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64715b1 |
Quadratic twists by: -43 |