Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dq |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1532533486387200 = 220 · 3 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43600,-2969452] |
[a1,a2,a3,a4,a6] |
Generators |
[8022:87040:27] |
Generators of the group modulo torsion |
j |
1263214441/211200 |
j-invariant |
L |
6.2089277639027 |
L(r)(E,1)/r! |
Ω |
0.33414557620991 |
Real period |
R |
4.6453763014974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3630s1 116160fz1 87120ev1 2640w1 |
Quadratic twists by: -4 8 -3 -11 |