Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-86594572800000000 = -1 · 215 · 34 · 58 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60033,15228063] |
[a1,a2,a3,a4,a6] |
j |
-46733803208/169130025 |
j-invariant |
L |
2.383265741502 |
L(r)(E,1)/r! |
Ω |
0.29790821428606 |
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 |
81600b3 40800bf2 16320f4 |
Quadratic twists by: -4 8 5 |