Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30912cb |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156410027311104 = 217 · 32 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38529,-2860929] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:180:1] [-102:135:1] |
Generators of the group modulo torsion |
j |
48260105780546/1193313807 |
j-invariant |
L |
8.6161184182119 |
L(r)(E,1)/r! |
Ω |
0.34127645788403 |
Real period |
R |
12.623370612251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912j3 7728b3 92736dv3 |
Quadratic twists by: -4 8 -3 |