Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312l |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
441925632 = 214 · 36 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,-15968] |
[a1,a2,a3,a4,a6] |
j |
16000000/37 |
j-invariant |
L |
0.8112684559967 |
L(r)(E,1)/r! |
Ω |
0.8112684559967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312br1 2664c1 2368a1 |
Quadratic twists by: -4 8 -3 |