Atkin-Lehner |
2+ 3- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59496c |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
23917392 = 24 · 32 · 37 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,110] |
[a1,a2,a3,a4,a6] |
Generators |
[17:63:1] |
Generators of the group modulo torsion |
j |
3451205632/1494837 |
j-invariant |
L |
8.0941801244894 |
L(r)(E,1)/r! |
Ω |
1.9212404901449 |
Real period |
R |
2.1064984227571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118992i1 |
Quadratic twists by: -4 |