Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255c |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1454545575 = 32 · 52 · 7 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8420,293870] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-22:1] |
Generators of the group modulo torsion |
j |
66018128748425281/1454545575 |
j-invariant |
L |
1.9144645134481 |
L(r)(E,1)/r! |
Ω |
1.3984993341716 |
Real period |
R |
1.3689420271209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080cb4 9765d3 16275s3 22785n4 |
Quadratic twists by: -4 -3 5 -7 |