Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bo |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
-87608635263571968 = -1 · 211 · 39 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-617405,187421829] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-9348:1] |
Generators of the group modulo torsion |
j |
-35703102038814015625/120176454408192 |
j-invariant |
L |
10.018144250664 |
L(r)(E,1)/r! |
Ω |
0.34159218795173 |
Real period |
R |
0.083317587695279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834d1 |
Quadratic twists by: -3 |