Atkin-Lehner |
2- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
96446g |
Isogeny class |
Conductor |
96446 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1568983528 = -1 · 23 · 73 · 833 |
Discriminant |
Eigenvalues |
2- 2 0 7- 3 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,147,-1717] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
614125/2744 |
j-invariant |
L |
16.709577493972 |
L(r)(E,1)/r! |
Ω |
0.75953140162901 |
Real period |
R |
1.2222139312624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96446c1 |
Quadratic twists by: -83 |