Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400hj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
3052339200000000 = 222 · 34 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112833,-14306463] |
[a1,a2,a3,a4,a6] |
j |
1551443665/29808 |
j-invariant |
L |
1.0431744035287 |
L(r)(E,1)/r! |
Ω |
0.2607936727809 |
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 |
110400ew1 27600dh1 110400ia1 |
Quadratic twists by: -4 8 5 |