Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960m |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-4775500800 = -1 · 210 · 34 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,224,3140] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:30:1] [2:-60:1] |
Generators of the group modulo torsion |
j |
1208446844/4663575 |
j-invariant |
L |
11.594720800481 |
L(r)(E,1)/r! |
Ω |
0.97623459801863 |
Real period |
R |
0.74231137832786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480c1 |
Quadratic twists by: -4 |