Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496x |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-433954962551916288 = -1 · 28 · 34 · 77 · 714 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320084,-76676160] |
[a1,a2,a3,a4,a6] |
Generators |
[2928:155232:1] |
Generators of the group modulo torsion |
j |
-120417265426768/14408423127 |
j-invariant |
L |
7.9180118714 |
L(r)(E,1)/r! |
Ω |
0.0996891696556 |
Real period |
R |
4.964187621471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992613 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11928g1 |
Quadratic twists by: -7 |