Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644g |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
7270275098138832 = 24 · 34 · 139 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135425,-18693234] |
[a1,a2,a3,a4,a6] |
j |
3556668227584/94139253 |
j-invariant |
L |
0.49854702839489 |
L(r)(E,1)/r! |
Ω |
0.24927351423314 |
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 |
3588b1 |
Quadratic twists by: 13 |