Atkin-Lehner |
2+ 3+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
29694a |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
127008 |
Modular degree for the optimal curve |
Δ |
-1028882635577496 = -1 · 23 · 37 · 78 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24818,-331988] |
[a1,a2,a3,a4,a6] |
j |
293232693719/178476696 |
j-invariant |
L |
1.7141852415791 |
L(r)(E,1)/r! |
Ω |
0.28569754026341 |
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 |
89082bg1 29694e1 |
Quadratic twists by: -3 -7 |