Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cx |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
263404192972800000 = 217 · 3 · 55 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -7 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1516896,-719169420] |
[a1,a2,a3,a4,a6] |
j |
439632699649/300000 |
j-invariant |
L |
0.27208735828738 |
L(r)(E,1)/r! |
Ω |
0.1360436791441 |
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 |
3630o1 116160go1 87120fx1 29040cw1 |
Quadratic twists by: -4 8 -3 -11 |