Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736h |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
25696734077952 = 210 · 311 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41835,-3284458] |
[a1,a2,a3,a4,a6] |
j |
10847147534500/34423137 |
j-invariant |
L |
2.6710834611988 |
L(r)(E,1)/r! |
Ω |
0.3338854326499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472i1 9912k1 |
Quadratic twists by: -4 -3 |