Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952s |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-31359491374362624 = -1 · 212 · 36 · 113 · 534 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70704,-4497552] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:7579:27] |
Generators of the group modulo torsion |
j |
13090860306432/10502230211 |
j-invariant |
L |
8.0928588458211 |
L(r)(E,1)/r! |
Ω |
0.2057154299435 |
Real period |
R |
3.2783389373187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5247b1 9328h1 |
Quadratic twists by: -4 -3 |