Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29205n |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-107339326875 = -1 · 37 · 54 · 113 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 11- -3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1857,34600] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-248:1] [-32:247:1] |
Generators of the group modulo torsion |
j |
-971475595264/147241875 |
j-invariant |
L |
4.1781103498504 |
L(r)(E,1)/r! |
Ω |
1.0213588713717 |
Real period |
R |
0.085223683919211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9735b1 |
Quadratic twists by: -3 |