Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2976b |
Isogeny class |
Conductor |
2976 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-33358293504 = -1 · 29 · 37 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 1 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2016,-36612] |
[a1,a2,a3,a4,a6] |
j |
-1770682685192/65152917 |
j-invariant |
L |
2.4882258417881 |
L(r)(E,1)/r! |
Ω |
0.35546083454116 |
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 |
2976e1 5952a1 8928h1 74400bt1 |
Quadratic twists by: -4 8 -3 5 |