Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664s |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-20330352 = -1 · 24 · 37 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-331] |
[a1,a2,a3,a4,a6] |
Generators |
[372:955:27] |
Generators of the group modulo torsion |
j |
-4000000/1743 |
j-invariant |
L |
8.1769370763914 |
L(r)(E,1)/r! |
Ω |
0.79433002792293 |
Real period |
R |
5.1470653196733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832v1 27888e1 |
Quadratic twists by: -4 -3 |