Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bj |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
502656 |
Modular degree for the optimal curve |
Δ |
-97265342253750000 = -1 · 24 · 3 · 57 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2054620,1132976975] |
[a1,a2,a3,a4,a6] |
j |
-2311381447936/234375 |
j-invariant |
L |
2.2624191961013 |
L(r)(E,1)/r! |
Ω |
0.32320274230032 |
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 |
14520bf1 116160fd1 87120w1 29040bh1 |
Quadratic twists by: -4 8 -3 -11 |