Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8967j |
Isogeny class |
Conductor |
8967 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1694763 = -1 · 34 · 73 · 61 |
Discriminant |
Eigenvalues |
-2 3- -2 7- 0 0 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,26,46] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
5451776/4941 |
j-invariant |
L |
2.2692149065262 |
L(r)(E,1)/r! |
Ω |
1.7350563835588 |
Real period |
R |
0.16348279283811 |
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 |
26901o1 8967g1 |
Quadratic twists by: -3 -7 |