Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9114w |
Isogeny class |
Conductor |
9114 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
391974912 = 212 · 32 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -6 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190,251] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:39:1] [-7:39:1] |
Generators of the group modulo torsion |
j |
2212245127/1142784 |
j-invariant |
L |
5.9345454533685 |
L(r)(E,1)/r! |
Ω |
1.4871509667027 |
Real period |
R |
0.33254556230024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912cs1 27342v1 9114z1 |
Quadratic twists by: -4 -3 -7 |