Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7812j |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
10434657678665472 = 28 · 38 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268455,53311102] |
[a1,a2,a3,a4,a6] |
Generators |
[26279:4259214:1] |
Generators of the group modulo torsion |
j |
11464911586546000/55912731903 |
j-invariant |
L |
4.3211030870426 |
L(r)(E,1)/r! |
Ω |
0.4082839783778 |
Real period |
R |
5.2917862515831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
31248bh4 124992cz4 2604f4 54684j4 |
Quadratic twists by: -4 8 -3 -7 |