Atkin-Lehner |
3+ 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
51255a |
Isogeny class |
Conductor |
51255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27776 |
Modular degree for the optimal curve |
Δ |
13070025 = 33 · 52 · 172 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 -4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1215,-16000] |
[a1,a2,a3,a4,a6] |
j |
7350042131307/484075 |
j-invariant |
L |
1.617224989015 |
L(r)(E,1)/r! |
Ω |
0.80861249424292 |
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 |
51255b1 |
Quadratic twists by: -3 |