Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040cu |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
7758450774835200 = 216 · 35 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2697856,-1706490700] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
2.3559981154712 |
L(r)(E,1)/r! |
Ω |
0.11779990577367 |
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 |
3630n1 116160gk1 87120fl1 2640r1 |
Quadratic twists by: -4 8 -3 -11 |