Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040i |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-234161616977920 = -1 · 235 · 5 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134616,-19069676] |
[a1,a2,a3,a4,a6] |
Generators |
[1183287:1287168202:1] |
Generators of the group modulo torsion |
j |
-65865354783369049/57168363520 |
j-invariant |
L |
3.4852464513581 |
L(r)(E,1)/r! |
Ω |
0.12461562936005 |
Real period |
R |
13.98398602368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630e1 |
Quadratic twists by: -4 |