Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550ju |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-15492001937343750 = -1 · 2 · 33 · 57 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151313,-23445633] |
[a1,a2,a3,a4,a6] |
Generators |
[313505557626:15245151927087:126506008] |
Generators of the group modulo torsion |
j |
-86806489/3510 |
j-invariant |
L |
13.569682469572 |
L(r)(E,1)/r! |
Ω |
0.12074601968016 |
Real period |
R |
18.730337868853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110f1 95550fx1 |
Quadratic twists by: 5 -7 |