Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664m |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-6639730320384 = -1 · 210 · 313 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2157,117826] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-486:1] [11:378:1] |
Generators of the group modulo torsion |
j |
1486779836/8894529 |
j-invariant |
L |
10.359401840225 |
L(r)(E,1)/r! |
Ω |
0.54266297725315 |
Real period |
R |
1.1931210385676 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41832j1 27888h1 |
Quadratic twists by: -4 -3 |