Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912ck |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-443553413184 = -1 · 26 · 316 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1972,-47170] |
[a1,a2,a3,a4,a6] |
Generators |
[32545:517752:125] |
Generators of the group modulo torsion |
j |
-13258203533632/6930522081 |
j-invariant |
L |
7.8116035042194 |
L(r)(E,1)/r! |
Ω |
0.34960641074593 |
Real period |
R |
5.5859984715042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912bh1 15456o4 92736fc1 |
Quadratic twists by: -4 8 -3 |