Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57498w |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1838441626060032 = 28 · 310 · 74 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41339,2488593] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:2305:1] |
Generators of the group modulo torsion |
j |
154240738777189/36294822144 |
j-invariant |
L |
10.625586122275 |
L(r)(E,1)/r! |
Ω |
0.44142518241336 |
Real period |
R |
0.15044432422292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57498m2 |
Quadratic twists by: 37 |