Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912y |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
167145119796953088 = 220 · 316 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5064577,-4388596513] |
[a1,a2,a3,a4,a6] |
Generators |
[-1301:192:1] |
Generators of the group modulo torsion |
j |
54804145548726848737/637608031452 |
j-invariant |
L |
8.5706135054732 |
L(r)(E,1)/r! |
Ω |
0.10063847706823 |
Real period |
R |
2.6613247720795 |
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 |
30912bk6 966g5 92736co6 |
Quadratic twists by: -4 8 -3 |