Atkin-Lehner |
2- 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664bj |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1054803901859568 = -1 · 24 · 39 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25299,-206901] |
[a1,a2,a3,a4,a6] |
Generators |
[10:217:1] [66:1323:1] |
Generators of the group modulo torsion |
j |
5686204859136/3349349381 |
j-invariant |
L |
9.6787866628876 |
L(r)(E,1)/r! |
Ω |
0.28851355372352 |
Real period |
R |
1.8637265502322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20916c1 83664bg1 |
Quadratic twists by: -4 -3 |