Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
3090a |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2000 |
Modular degree for the optimal curve |
Δ |
1620049920 = 220 · 3 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-373,1837] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] |
Generators of the group modulo torsion |
j |
5763259856089/1620049920 |
j-invariant |
L |
2.022787071967 |
L(r)(E,1)/r! |
Ω |
1.3971841842454 |
Real period |
R |
2.8955195668199 |
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 |
24720s1 98880y1 9270u1 15450bd1 |
Quadratic twists by: -4 8 -3 5 |