Atkin-Lehner |
2+ 3- 29+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
37062c |
Isogeny class |
Conductor |
37062 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-19359403449336 = -1 · 23 · 39 · 293 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 -6 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5931,-273699] |
[a1,a2,a3,a4,a6] |
Generators |
[99:270:1] |
Generators of the group modulo torsion |
j |
-31653456713137/26556108984 |
j-invariant |
L |
1.8587914725874 |
L(r)(E,1)/r! |
Ω |
0.26269046689198 |
Real period |
R |
1.7689940318139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12354h1 |
Quadratic twists by: -3 |