Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746ba |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
166270500082455552 = 210 · 312 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6071036,5759094975] |
[a1,a2,a3,a4,a6] |
Generators |
[1409:177:1] |
Generators of the group modulo torsion |
j |
5888439551422393/39564288 |
j-invariant |
L |
8.8683087806175 |
L(r)(E,1)/r! |
Ω |
0.28806144114038 |
Real period |
R |
0.51310284972051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582a1 46746bf1 |
Quadratic twists by: -3 -7 |