Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11781j |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
340671177 = 37 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252,1323] |
[a1,a2,a3,a4,a6] |
Generators |
[42:231:1] |
Generators of the group modulo torsion |
j |
2433138625/467313 |
j-invariant |
L |
5.620673301174 |
L(r)(E,1)/r! |
Ω |
1.6217093229502 |
Real period |
R |
1.7329472124354 |
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 |
3927e1 82467y1 129591j1 |
Quadratic twists by: -3 -7 -11 |