Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840b |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
150145120448341200 = 24 · 320 · 52 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-916791,-337052970] |
[a1,a2,a3,a4,a6] |
j |
5326172487431504287744/9384070028021325 |
j-invariant |
L |
0.92582550775556 |
L(r)(E,1)/r! |
Ω |
0.1543042512926 |
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 |
10920r1 87360gp1 65520bg1 109200bu1 |
Quadratic twists by: -4 8 -3 5 |