Atkin-Lehner |
2- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
80080bi |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-44102600622080000 = -1 · 222 · 54 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28747,-10276614] |
[a1,a2,a3,a4,a6] |
Generators |
[262:420:1] |
Generators of the group modulo torsion |
j |
-641418306895521/10767236480000 |
j-invariant |
L |
5.9835901601579 |
L(r)(E,1)/r! |
Ω |
0.15475055899956 |
Real period |
R |
4.833254075093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010y1 |
Quadratic twists by: -4 |