Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29016f |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-549969264 = -1 · 24 · 38 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 4 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,-4093] |
[a1,a2,a3,a4,a6] |
j |
-990692608/47151 |
j-invariant |
L |
4.0878964675273 |
L(r)(E,1)/r! |
Ω |
0.51098705844106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032l1 9672h1 |
Quadratic twists by: -4 -3 |