Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400fc |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3159171072000 = -1 · 216 · 36 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3713,-123297] |
[a1,a2,a3,a4,a6] |
j |
-691234772/385641 |
j-invariant |
L |
3.576898600354 |
L(r)(E,1)/r! |
Ω |
0.29807488769523 |
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 |
110400gu2 13800s2 110400bs2 |
Quadratic twists by: -4 8 5 |