Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29736f |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-22025772066816 = -1 · 211 · 312 · 73 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907,285518] |
[a1,a2,a3,a4,a6] |
j |
-15267472418/14752773 |
j-invariant |
L |
1.2374456650703 |
L(r)(E,1)/r! |
Ω |
0.61872283253363 |
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 |
59472s1 9912j1 |
Quadratic twists by: -4 -3 |