Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255c |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
35593425 = 38 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-140,-628] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:11:1] |
Generators of the group modulo torsion |
j |
303599943361/35593425 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
52080cb1 9765d1 16275s1 22785n1 |
Quadratic twists by: -4 -3 5 -7 |