Atkin-Lehner |
3- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65331m |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2131200 |
Modular degree for the optimal curve |
Δ |
8.0680121720558E+20 |
Discriminant |
Eigenvalues |
1 3- -1 7+ -4 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4544505,3470563422] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:59456:1] |
Generators of the group modulo torsion |
j |
14238229678567844276881/1106723206043313579 |
j-invariant |
L |
5.3861388742685 |
L(r)(E,1)/r! |
Ω |
0.15547901431711 |
Real period |
R |
5.7737040346531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21777e1 |
Quadratic twists by: -3 |