Atkin-Lehner |
2+ 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
75166d |
Isogeny class |
Conductor |
75166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-65692378024 = -1 · 23 · 77 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-858,-16036] |
[a1,a2,a3,a4,a6] |
j |
-594823321/558376 |
j-invariant |
L |
1.6985177488996 |
L(r)(E,1)/r! |
Ω |
0.42462942758621 |
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 |
10738c1 |
Quadratic twists by: -7 |