Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5840i |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
200660872069120 = 239 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -3 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30360,-1928812] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:419:8] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
4.3891559697599 |
L(r)(E,1)/r! |
Ω |
0.36315026518127 |
Real period |
R |
6.0431677883658 |
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 |
730d1 23360o1 52560u1 29200v1 |
Quadratic twists by: -4 8 -3 5 |