Atkin-Lehner |
2+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408g |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-1607928832 = -1 · 210 · 31 · 373 |
Discriminant |
Eigenvalues |
2+ 0 2 3 6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,256,-1112] |
[a1,a2,a3,a4,a6] |
j |
1811939328/1570243 |
j-invariant |
L |
4.9607327941966 |
L(r)(E,1)/r! |
Ω |
0.8267888006327 |
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 |
73408bi1 4588a1 |
Quadratic twists by: -4 8 |