Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912n |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-8.5050040216682E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,297247,439200609] |
[a1,a2,a3,a4,a6] |
Generators |
[7561:659456:1] |
Generators of the group modulo torsion |
j |
11079872671250375/324440155855872 |
j-invariant |
L |
3.6735484912932 |
L(r)(E,1)/r! |
Ω |
0.14434850753823 |
Real period |
R |
2.1207634644925 |
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 |
30912bv1 966f1 92736bv1 |
Quadratic twists by: -4 8 -3 |