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 |
Δ |
-6.1693709883765E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2683553,-12068593887] |
[a1,a2,a3,a4,a6] |
Generators |
[51706:-3923577:8] |
Generators of the group modulo torsion |
j |
-8152944444844179625/235342826399858688 |
j-invariant |
L |
3.6735484912932 |
L(r)(E,1)/r! |
Ω |
0.048116169179411 |
Real period |
R |
6.3622903934774 |
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 |
30912bv3 966f3 92736bv3 |
Quadratic twists by: -4 8 -3 |