Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270u |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
1181016391680 = 220 · 37 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3362,-52959] |
[a1,a2,a3,a4,a6] |
j |
5763259856089/1620049920 |
j-invariant |
L |
3.2016931552397 |
L(r)(E,1)/r! |
Ω |
0.64033863104794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74160bu1 3090a1 46350q1 |
Quadratic twists by: -4 -3 5 |