Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148m |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506304 |
Modular degree for the optimal curve |
Δ |
19991815562448 = 24 · 315 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1830360,-953131619] |
[a1,a2,a3,a4,a6] |
Generators |
[-4297355465109434:-21028289656275:5502111242264] |
Generators of the group modulo torsion |
j |
58141435482554368000/1713975957 |
j-invariant |
L |
4.950651116242 |
L(r)(E,1)/r! |
Ω |
0.12979723062034 |
Real period |
R |
19.070711650081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19716f1 |
Quadratic twists by: -3 |