Atkin-Lehner |
2- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370t |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-14094282280 = -1 · 23 · 5 · 136 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-6817] |
[a1,a2,a3,a4,a6] |
Generators |
[21663:53531:729] |
Generators of the group modulo torsion |
j |
-1771561/2920 |
j-invariant |
L |
15.380543673937 |
L(r)(E,1)/r! |
Ω |
0.49718025079251 |
Real period |
R |
5.1559247066442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730e1 |
Quadratic twists by: 13 |