Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634bc |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
63948019968 = 28 · 39 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1647,23085] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:90:1] [-18:225:1] |
Generators of the group modulo torsion |
j |
1976656375/255744 |
j-invariant |
L |
6.4090587737734 |
L(r)(E,1)/r! |
Ω |
1.0642339733198 |
Real period |
R |
1.505556798234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bt1 32634bb1 |
Quadratic twists by: -3 -7 |