Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fw |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-88320000000000 = -1 · 217 · 3 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 0 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20833,1249537] |
[a1,a2,a3,a4,a6] |
j |
-781250/69 |
j-invariant |
L |
1.1826586551495 |
L(r)(E,1)/r! |
Ω |
0.5913292431545 |
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 |
110400eb1 27600x1 110400jp1 |
Quadratic twists by: -4 8 5 |