Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746v |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
77440464489068352 = 26 · 310 · 72 · 535 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -5 -5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441324,112158864] |
[a1,a2,a3,a4,a6] |
Generators |
[-5874:53499:8] [-32:11252:1] |
Generators of the group modulo torsion |
j |
266117414136988561/2167925435712 |
j-invariant |
L |
5.0528254081318 |
L(r)(E,1)/r! |
Ω |
0.34543662212049 |
Real period |
R |
0.73136793909037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582w1 46746f1 |
Quadratic twists by: -3 -7 |