Atkin-Lehner |
2+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4040b |
Isogeny class |
Conductor |
4040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
631250000 = 24 · 58 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242,-799] |
[a1,a2,a3,a4,a6] |
Generators |
[517:11750:1] |
Generators of the group modulo torsion |
j |
97960237056/39453125 |
j-invariant |
L |
4.069097326473 |
L(r)(E,1)/r! |
Ω |
1.2535130184546 |
Real period |
R |
3.2461548197479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8080b1 32320a1 36360q1 20200g1 |
Quadratic twists by: -4 8 -3 5 |