Atkin-Lehner |
2+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33872b |
Isogeny class |
Conductor |
33872 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
383312352512 = 28 · 295 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -4 2 -3 -4 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2985,56261] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:261:1] [490:2523:8] |
Generators of the group modulo torsion |
j |
11493762989056/1497313877 |
j-invariant |
L |
9.6209385827952 |
L(r)(E,1)/r! |
Ω |
0.91648817694716 |
Real period |
R |
2.0995226833899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16936b1 |
Quadratic twists by: -4 |