Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bs |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-48873439494144 = -1 · 226 · 39 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8916,-90160] |
[a1,a2,a3,a4,a6] |
Generators |
[373:7425:1] |
Generators of the group modulo torsion |
j |
410172407/255744 |
j-invariant |
L |
6.03512231669 |
L(r)(E,1)/r! |
Ω |
0.36599506177957 |
Real period |
R |
4.1224069304006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21312m1 5328v1 7104m1 |
Quadratic twists by: -4 8 -3 |