Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675j |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
270225046875 = 3 · 56 · 78 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-960426,362199373] |
[a1,a2,a3,a4,a6] |
Generators |
[1048764:2443027:1728] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
4.991201083102 |
L(r)(E,1)/r! |
Ω |
0.64603245757805 |
Real period |
R |
7.7259292850607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800gb6 11025ba5 147a5 525b5 |
Quadratic twists by: -4 -3 5 -7 |