Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255d |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10725261647865975 = 324 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213605,-37759300] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:623:1] |
Generators of the group modulo torsion |
j |
1077849394581812947921/10725261647865975 |
j-invariant |
L |
1.9473486085038 |
L(r)(E,1)/r! |
Ω |
0.22220694529529 |
Real period |
R |
4.3818356035541 |
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 |
52080cf6 9765e5 16275t5 22785o6 |
Quadratic twists by: -4 -3 5 -7 |