Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3174a |
Isogeny class |
Conductor |
3174 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-122573716092 = -1 · 22 · 32 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 6 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-804,-19332] |
[a1,a2,a3,a4,a6] |
j |
-389017/828 |
j-invariant |
L |
1.680622210502 |
L(r)(E,1)/r! |
Ω |
0.42015555262551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25392bc1 101568bm1 9522k1 79350dh1 |
Quadratic twists by: -4 8 -3 5 |