Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600l |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
36094412800 = 211 · 52 · 893 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 2 5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5035,137210] |
[a1,a2,a3,a4,a6] |
j |
275709782610/704969 |
j-invariant |
L |
6.9691256921692 |
L(r)(E,1)/r! |
Ω |
1.1615209486911 |
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 |
17800n1 35600p1 |
Quadratic twists by: -4 5 |