Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800s |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
19872000 = 28 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1028,-12348] |
[a1,a2,a3,a4,a6] |
j |
3758161808/621 |
j-invariant |
L |
1.6861661951257 |
L(r)(E,1)/r! |
Ω |
0.84308309756287 |
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 |
27600bb1 110400fc1 41400r1 13800q1 |
Quadratic twists by: -4 8 -3 5 |