Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520k |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5164819200000 = -1 · 211 · 39 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9003,-346502] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2214:1] |
Generators of the group modulo torsion |
j |
-54054018002/3459375 |
j-invariant |
L |
5.647142635153 |
L(r)(E,1)/r! |
Ω |
0.24415679471798 |
Real period |
R |
2.8911455452611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14760q1 118080fu1 9840h1 |
Quadratic twists by: -4 8 -3 |