Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520a |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-11335680 = -1 · 211 · 33 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 4 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,162] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
-54/205 |
j-invariant |
L |
6.3729296387138 |
L(r)(E,1)/r! |
Ω |
1.8203255124629 |
Real period |
R |
0.4376229412735 |
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 |
14760a1 118080dm1 29520d1 |
Quadratic twists by: -4 8 -3 |