Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350fc |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-1354570451050781250 = -1 · 2 · 315 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11+ 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1108805,-452595553] |
[a1,a2,a3,a4,a6] |
Generators |
[5353716:1545627985:64] |
Generators of the group modulo torsion |
j |
-105884235324629/951358122 |
j-invariant |
L |
11.327785748853 |
L(r)(E,1)/r! |
Ω |
0.0735229612714 |
Real period |
R |
6.4196417647374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450bm1 64350cd1 |
Quadratic twists by: -3 5 |