Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912j |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-121147342848 = -1 · 214 · 38 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1071,-10287] |
[a1,a2,a3,a4,a6] |
Generators |
[11:52:1] [17:112:1] |
Generators of the group modulo torsion |
j |
8284506032/7394247 |
j-invariant |
L |
6.5995953608892 |
L(r)(E,1)/r! |
Ω |
0.57514674476435 |
Real period |
R |
2.8686571822609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912cb1 3864e1 92736cl1 |
Quadratic twists by: -4 8 -3 |