Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032o |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-8122203072 = -1 · 26 · 38 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1558,23552] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:216:1] [8:108:1] |
Generators of the group modulo torsion |
j |
-6539203000000/126909423 |
j-invariant |
L |
10.972856118573 |
L(r)(E,1)/r! |
Ω |
1.3123491240087 |
Real period |
R |
1.0451540597892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64032d1 128064bz1 |
Quadratic twists by: -4 8 |