Atkin-Lehner |
2- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19240j |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
76960000 = 28 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -2 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127,354] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] |
Generators of the group modulo torsion |
j |
884901456/300625 |
j-invariant |
L |
4.8392806573661 |
L(r)(E,1)/r! |
Ω |
1.7792144407201 |
Real period |
R |
0.67997433960341 |
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 |
38480g1 96200c1 |
Quadratic twists by: -4 5 |