Atkin-Lehner |
2+ 3+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5658b |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-16234748352 = -1 · 26 · 38 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,590,-2444] |
[a1,a2,a3,a4,a6] |
j |
22653175772375/16234748352 |
j-invariant |
L |
1.3931044949129 |
L(r)(E,1)/r! |
Ω |
0.69655224745645 |
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 |
45264n1 16974m1 |
Quadratic twists by: -4 -3 |