Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46644c |
Isogeny class |
Conductor |
46644 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-26866944 = -1 · 28 · 33 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -2 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,-248] |
[a1,a2,a3,a4,a6] |
j |
-208/621 |
j-invariant |
L |
2.8715160125177 |
L(r)(E,1)/r! |
Ω |
0.95717200439194 |
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 |
46644e1 |
Quadratic twists by: 13 |