Atkin-Lehner |
2- 3+ 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558w |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
844514721792 = 224 · 32 · 7 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2414,-12373] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:175:1] [-31:199:1] |
Generators of the group modulo torsion |
j |
1555774874843617/844514721792 |
j-invariant |
L |
9.1673198757937 |
L(r)(E,1)/r! |
Ω |
0.72633785365185 |
Real period |
R |
1.0517740733763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674c1 |
Quadratic twists by: -3 |