Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394h |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1904 |
Modular degree for the optimal curve |
Δ |
601216 = 27 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11+ 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
4354703137/601216 |
j-invariant |
L |
6.4300753036886 |
L(r)(E,1)/r! |
Ω |
1.9949148524467 |
Real period |
R |
0.46046185134901 |
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 |
75152s1 84546t1 65758m1 103334n1 |
Quadratic twists by: -4 -3 -7 -11 |