Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bf |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-28111104 = -1 · 28 · 33 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,194] |
[a1,a2,a3,a4,a6] |
Generators |
[10:42:1] |
Generators of the group modulo torsion |
j |
2963088/4067 |
j-invariant |
L |
7.1002951211306 |
L(r)(E,1)/r! |
Ω |
1.4199157929137 |
Real period |
R |
1.2501260916975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20916e1 83664bi1 |
Quadratic twists by: -4 -3 |