Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5840l |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
299008000 = 215 · 53 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -5 -3 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-1088] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] [-8:16:1] |
Generators of the group modulo torsion |
j |
374805361/73000 |
j-invariant |
L |
4.1198979264141 |
L(r)(E,1)/r! |
Ω |
1.2289854416196 |
Real period |
R |
0.27935630120145 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730k1 23360t1 52560bc1 29200l1 |
Quadratic twists by: -4 8 -3 5 |