Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664v |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-6535984534128 = -1 · 24 · 315 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335,-124427] |
[a1,a2,a3,a4,a6] |
Generators |
[68:315:1] [92:729:1] |
Generators of the group modulo torsion |
j |
-22559008000/560355327 |
j-invariant |
L |
10.982982040834 |
L(r)(E,1)/r! |
Ω |
0.32530667515091 |
Real period |
R |
2.8134943833656 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832g1 27888j1 |
Quadratic twists by: -4 -3 |