Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3174b |
Isogeny class |
Conductor |
3174 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-148086144 = -1 · 27 · 37 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 5 -3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-459,3645] |
[a1,a2,a3,a4,a6] |
j |
-20285403817/279936 |
j-invariant |
L |
1.8367279018579 |
L(r)(E,1)/r! |
Ω |
1.8367279018579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25392bd1 101568bo1 9522m1 79350dp1 |
Quadratic twists by: -4 8 -3 5 |