Atkin-Lehner |
2+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
33040c |
Isogeny class |
Conductor |
33040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2714288864000 = -1 · 28 · 53 · 7 · 594 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 1 3 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2385,-90275] |
[a1,a2,a3,a4,a6] |
j |
-5863149638656/10602690875 |
j-invariant |
L |
1.9328704828429 |
L(r)(E,1)/r! |
Ω |
0.32214508047521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16520d1 |
Quadratic twists by: -4 |