Atkin-Lehner |
2- 3+ 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bu |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-596176875000 = -1 · 23 · 33 · 57 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -6 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,898,-35899] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-401:1] |
Generators of the group modulo torsion |
j |
2969219313117/22080625000 |
j-invariant |
L |
10.550600079943 |
L(r)(E,1)/r! |
Ω |
0.45593158353301 |
Real period |
R |
0.55097030535167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890a1 |
Quadratic twists by: -3 |