Atkin-Lehner |
2- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9028c |
Isogeny class |
Conductor |
9028 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2149964032 = -1 · 28 · 37 · 613 |
Discriminant |
Eigenvalues |
2- 2 2 0 -1 0 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,148,2072] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:42:1] |
Generators of the group modulo torsion |
j |
1391012912/8398297 |
j-invariant |
L |
6.6268105984064 |
L(r)(E,1)/r! |
Ω |
1.0604051743609 |
Real period |
R |
2.083106457366 |
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 |
36112j1 81252g1 |
Quadratic twists by: -4 -3 |