Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486h |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-461298228174 = -1 · 2 · 314 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3707,91271] |
[a1,a2,a3,a4,a6] |
Generators |
[230:661:8] |
Generators of the group modulo torsion |
j |
-5633765843195953/461298228174 |
j-invariant |
L |
4.6904508784898 |
L(r)(E,1)/r! |
Ω |
0.91769972970891 |
Real period |
R |
5.1110954124151 |
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 |
27888bi2 111552bd2 10458g2 87150bj2 |
Quadratic twists by: -4 8 -3 5 |