Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658y |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
-8386282944 = -1 · 26 · 33 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1622,24851] |
[a1,a2,a3,a4,a6] |
Generators |
[5:127:1] |
Generators of the group modulo torsion |
j |
-214814176669/3817152 |
j-invariant |
L |
10.219879840625 |
L(r)(E,1)/r! |
Ω |
1.3098009901314 |
Real period |
R |
1.3004367225264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47658h1 |
Quadratic twists by: 13 |