Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030i |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-54613440 = -1 · 26 · 34 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-164,866] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
-483551781049/54613440 |
j-invariant |
L |
3.3772330345745 |
L(r)(E,1)/r! |
Ω |
1.9355766287793 |
Real period |
R |
0.43620502856355 |
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 |
72240bp1 27090bp1 45150cj1 63210q1 |
Quadratic twists by: -4 -3 5 -7 |