Atkin-Lehner |
3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37011a |
Isogeny class |
Conductor |
37011 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
43410741779457 = 36 · 138 · 73 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41915,-3305232] |
[a1,a2,a3,a4,a6] |
j |
1687284042625/8993673 |
j-invariant |
L |
1.3350735582993 |
L(r)(E,1)/r! |
Ω |
0.33376838957366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111033g1 2847a1 |
Quadratic twists by: -3 13 |