Atkin-Lehner |
3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23373o |
Isogeny class |
Conductor |
23373 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-804421976155371 = -1 · 38 · 77 · 533 |
Discriminant |
Eigenvalues |
-2 3- 1 7- -1 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31017,2506558] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:661:1] [-104:2146:1] |
Generators of the group modulo torsion |
j |
-38477541376/9379251 |
j-invariant |
L |
4.4150026221917 |
L(r)(E,1)/r! |
Ω |
0.47923310067508 |
Real period |
R |
0.1919300256307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7791c1 3339e1 |
Quadratic twists by: -3 -7 |