Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664t |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-426937392 = -1 · 24 · 38 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,186,187] |
[a1,a2,a3,a4,a6] |
Generators |
[836:4455:64] |
Generators of the group modulo torsion |
j |
61011968/36603 |
j-invariant |
L |
8.7221821444596 |
L(r)(E,1)/r! |
Ω |
1.0266367120135 |
Real period |
R |
4.2479399188394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41832w1 27888l1 |
Quadratic twists by: -4 -3 |