Atkin-Lehner |
2- 3- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59496j |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
2535957504 = 210 · 33 · 372 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,3456] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:48:1] |
Generators of the group modulo torsion |
j |
13854050788/2476521 |
j-invariant |
L |
7.5858309891766 |
L(r)(E,1)/r! |
Ω |
1.3760574405443 |
Real period |
R |
1.8375761470615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118992f1 |
Quadratic twists by: -4 |