Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
59808k |
Isogeny class |
Conductor |
59808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-261600192 = -1 · 26 · 38 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,154,312] |
[a1,a2,a3,a4,a6] |
j |
6270219584/4087503 |
j-invariant |
L |
4.3673641673838 |
L(r)(E,1)/r! |
Ω |
1.0918410416032 |
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 |
59808i1 119616t1 |
Quadratic twists by: -4 8 |