Atkin-Lehner |
2+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29150b |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-11660000000 = -1 · 28 · 57 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,225,5125] |
[a1,a2,a3,a4,a6] |
Generators |
[30:185:1] |
Generators of the group modulo torsion |
j |
80062991/746240 |
j-invariant |
L |
3.1364365980999 |
L(r)(E,1)/r! |
Ω |
0.93327154669597 |
Real period |
R |
0.42008628265854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830c1 |
Quadratic twists by: 5 |