Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912y |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5005120873955328 = 222 · 32 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133697,464225247] |
[a1,a2,a3,a4,a6] |
Generators |
[267:13440:1] |
Generators of the group modulo torsion |
j |
614716917569296417/19093020912 |
j-invariant |
L |
8.5706135054732 |
L(r)(E,1)/r! |
Ω |
0.40255390827292 |
Real period |
R |
1.3306623860398 |
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 |
30912bk4 966g4 92736co4 |
Quadratic twists by: -4 8 -3 |