Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336bj |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
778643712 = 28 · 33 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2271,41634] |
[a1,a2,a3,a4,a6] |
Generators |
[25:22:1] |
Generators of the group modulo torsion |
j |
187400776176/112651 |
j-invariant |
L |
6.3476404286346 |
L(r)(E,1)/r! |
Ω |
1.5766886245139 |
Real period |
R |
0.50324144167875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999634572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105336e1 |
Quadratic twists by: -3 |