Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bn |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
12087260174352384 = 224 · 311 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -6 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82011,7330570] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:2560:1] |
Generators of the group modulo torsion |
j |
20429256361753/4047998976 |
j-invariant |
L |
4.0703955371413 |
L(r)(E,1)/r! |
Ω |
0.3803778531731 |
Real period |
R |
2.6752316839019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10458x1 27888bg1 |
Quadratic twists by: -4 -3 |