Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240by |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5703934995360000 = 28 · 312 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79887,-7894766] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:518:1] |
Generators of the group modulo torsion |
j |
302123533699024/30563780625 |
j-invariant |
L |
7.6703937562846 |
L(r)(E,1)/r! |
Ω |
0.28582734924094 |
Real period |
R |
1.6772349134074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080j2 |
Quadratic twists by: -3 |