Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bp |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-409386811392 = -1 · 216 · 33 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1663,15777] |
[a1,a2,a3,a4,a6] |
Generators |
[16:215:1] |
Generators of the group modulo torsion |
j |
7756384892/6246747 |
j-invariant |
L |
4.8705123369199 |
L(r)(E,1)/r! |
Ω |
0.60992391643207 |
Real period |
R |
3.9927212266331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352t2 23088j2 |
Quadratic twists by: -4 8 |