Atkin-Lehner |
3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241x |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
16172793 = 32 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
1 3- 0 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96,-311] |
[a1,a2,a3,a4,a6] |
j |
281011375/47151 |
j-invariant |
L |
3.0891114631622 |
L(r)(E,1)/r! |
Ω |
1.5445557320759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59241h1 |
Quadratic twists by: -7 |