Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
35280dr |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-24787589110824960 = -1 · 217 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 7 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254163,-49897582] |
[a1,a2,a3,a4,a6] |
Generators |
[3577:211680:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
5.9014662732217 |
L(r)(E,1)/r! |
Ω |
0.10622794764172 |
Real period |
R |
2.3147809358066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4410f1 11760bt1 35280fi1 |
Quadratic twists by: -4 -3 -7 |