Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304z |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
177335631872 = 216 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1505,10241] |
[a1,a2,a3,a4,a6] |
Generators |
[957:352:27] |
Generators of the group modulo torsion |
j |
5756278756/2705927 |
j-invariant |
L |
4.8450331156145 |
L(r)(E,1)/r! |
Ω |
0.90584688089505 |
Real period |
R |
5.348622618016 |
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 |
10304k2 2576d2 92736ee2 72128cf2 |
Quadratic twists by: -4 8 -3 -7 |