Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
966d |
Isogeny class |
Conductor |
966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-365148 = -1 · 22 · 34 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
590589719/365148 |
j-invariant |
L |
1.3761745478694 |
L(r)(E,1)/r! |
Ω |
1.7441234008496 |
Real period |
R |
0.39451754021504 |
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 |
7728q1 30912be1 2898s1 24150cd1 |
Quadratic twists by: -4 8 -3 5 |